Solve the simultaneous equation
-4x+3y=1
6x-y=2

Answers

Answer 1

Answer:

x = 1/2 or 0.5, y = 1

Step-by-step explanation:

it just means a system of equations.

-4x + 3y = 1

6x - y = 2

let's multiply the second equation by 3 and add both resulting equations :

-4x + 3y = 1

18x - 3y = 6

-------------------

14x 0 = 7

14x = 7

x = 7/14 = 1/2 = 0.5

6x - y = 2

6×1/2 - y = 2

3 - y = 2

-y = -1

y = 1


Related Questions

Evaluate the expression

Answers

so you write 16 but i don't speak English very good i want help you 2(6+3)-2 ok you you going multiplying 2×6=12+6=18-2=16 so 16

Pls help HElp Asap. .
Given g(x) = −4x + 4, identify the domain, range, and x-intercept of the function.

Answers

The domain of the function is -∝ < x < ∝, the range of the function is -∝ < y < ∝, and the x-intercept of the function is (-1, 0)

How to identify the domain, range, and x-intercept of the function?

The equation of the function is given as

g(x) = 4x + 4

The function g(x) is a linear function.

There is no restriction on the input values and output values of a linear function

This means that the domain and the range of a linear function are the set of all real numbers

Set g(x) to 0, to determine the x-intercept

So, we have

4x + 4 = 0

Divide through by 1

So, we have

x + 1 = 0

Evaluate the like terms

x = -1

Hence, the domain of the function is -∝ < x < ∝, the range of the function is -∝ < y < ∝, and the x-intercept of the function is (-1, 0)

Read more about linear functions at

https://brainly.com/question/15602982

#SPJ1

The function f(x) is given by the set of ordered pairs.

{(1,0), (–10,2), (0,6), (3,17), (–2,–1)}

Answers

Answer:

Question? where is a question...that is a statement

a pizza parlor can make 100 pizzas in an evening. they make 40 pepperoni pizzas and 60 extra cheese pizzas. they are producing each pizza at the lowest possible cost. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. this pizza parlor is what?

Answers

The pizza parlor is technically efficient, but its not allocatively or economically efficient because technically efficient if all supply is used, allocate is if desired demand is met.

What is meant by technically efficient?

Technical efficiency is related to how productive a company can be given this same fewest inputs, as well as resources, required to complete a task.

An input would be any quantifiable resource required to produce an output, or product. Labor, materials, and equipment are all examples of inputs. Outputting cakes, for example, necessitates at least the mentioned inputs: bakers, ingredients, and ovens.What is meant by economically efficient?

The concept of economic efficiency is related but distinct. Technical efficiency seeks to minimize inputs, whereas economic efficiency seeks to minimize costs, that might or might not necessitate fewer inputs.

In other words, the company wants to cut costs as much as possible even while meeting production targets. For instance, the bakery would perhaps purchase cheaper materials to lower costs without lower productivity.

To know more about technical efficiency and economic efficiency, here

https://brainly.com/question/16108891

#SPJ4

The complete question is;

A pizza parlor can make 100 pizzas in an evening. They make 40 pepperoni pizzas and 60 extra cheese pizzas. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. This pizza parlor is what?

Technically efficient

allocatively efficient

economically efficient

(Please answer! :) )

Answers

Answer:

ok

Step-by-step explanation:

guys helepepepe Which lines are perpendicular?
will give ur brainliest help plss

Answers

Answer:

All the lines (A,B,C) are perpendicular because they are all intersecting at a 90 degree angle.

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

What is the absolute value of:

-3|2y-3|+2=-20

Answers

Answer:

Exact Form:

y = 31/6, −13/6

Decimal Form:

y = 5.16,−2.16

Mixed Number Form:

y = 5 1/6,−2 1/6

which of these objects are malleable check all that apply
Tin fork and knife from a camping set
Antique ceramic vase
Steel pole fence post
Marble sculpture
glass tabletop
Copper coin

Answers

The objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.

What is malleable?

A material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.

It is given that:

The list of objects is given in the question.

As we know from the definition of malleable; the material is said to be malleable if it is easy to roll or hammer a thin sheet out of it.

Metals have the physical quality of malleability, which makes them easy to crush, hammer, or bend.

Metals that are bendable include copper coins, steel fence posts, and camping forks and knives made of tin.

Thus, the objects are (A) tin fork and knife from a camping set, (C) a Steel pole fence post, and (F) a Copper coin are correct.

Learn more about the malleable here:

https://brainly.com/question/21234770

#SPJ1

The Morris family rented
boat over Labor Day weekend. The boat uses an average of 2 gallons of gas per hour
when it is pulling water skiers and 1 gallon per hour when not pulling water-skiers. The gas for the boat costs $2.25
per gallon How much money is spent on gas per hour when the boat is pulling water-skiers if the Marris family only
water skied for 2 hours?

Answers

The total amount spent on gas is $9.

How much is spent on gas?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition.

In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour.

The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour

2 x 3 x $2.25 = $9

To learn more about multiplication, please check: https://brainly.com/question/3385014

#SPJ1

Answer:

Step-by-step explanation:

The total amount spent on gas is $9.How much is spent on gas?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition. In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour. The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour 2 x 3 x $2.25 = $9To learn more about multiplication, please check:

The number of cable TV systems recently decreased from 14,100 to 13,920. Find the percent decrease.
The percent decrease was %. (Round to the nearest tenth, if needed.)

Answers

Answer:

1.3

Step-by-step explanation:

[tex]\frac{14100-13920}{14100} \times 100 \approx 1.3[/tex]

1. What is the slope of the line that passes through the given points? (1
(2, 12) and (6, 11)
0-11
4
4
04
04

Answers

Answer:

Step-by-step explanation:

The slope of the line that passes through the given points (2, 12) and (6, 11) is -1/4.

PLEASE HELP ASAP

i would really appreciate it!

Answers

Using the probability concept, the tree diagram and the probabilities are given on the image at the end of the answer.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the first branch, we consider the first counter, which considering the eight counters has these following probabilities.

Blue: 1/8.Red: 3/8.White: 4/8.

Then on the second branch, we consider the probabilities for the second counter, which in the case of a blue first counter are given as follows:

Red: 3/7.White: 4/8.

The same logic is applied for the other branches given in the picture at the end of the question.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

help me with this ques. (need solution and answer both) thanks so much <3

Answers

Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

Including a 5% sales tax, an inn charges $189 per night. Find the inn's nightly cost before the tax is added.
The inn's nightly cost before tax is added is

Answers

Answer:

180

Step-by-step explanation:

Nightly cost = x

x × 5% = Sales Tax

Total Cost : Percentage

      189     :        105%

         x       :        100%

Cross multiply:

189 × 100% = 105% × x

189 = 1.05x

189 ÷ 1.05 = x

x = 180

210 sticks of gum each stick sold for 50 cents how much money did i make

Answers

You made $105

210 x .50 = $105

If there is an increase in the money supply that causes prices to rise and
leads to inflation, what happens to money?
• A. It loses purchasing power.
• B. It changes from fiat money to commodity money.

C. It changes from commodity money to fiat money.

D. It gains purchasing power.
SUBMIT
Mathematics of personal finance

Answers

The increase in the money supply that causes prices to rise and leads to inflation, loses purchasing power.

What is inflation?

Inflation refers to the persistent rise in the general prices of commodities in the economy over a period of time. If the prices of goods and services increase in an economy without an increase in income of people, it reduces the purchasing power of individuals.

This follows the law of demand which states that; the higher the price, the lower the quantity demanded; the lower the price, the higher the quantity demanded.

learn more of inflation here https://brainly.com/question/16502523

#SPJ9

The table below shows numerical summaries for the length of dogs' tails in inches (measured from hip bone to tail
tip) for several breeds of dogs.
Which of the following statements is true?
This is a skewed-left distribution, because the mean is less than the median.
O This is a skewed-right distribution, because the mean is less than the median.
This is a skewed-left distribution, because the mean is greater than the median.
This is a skewed-right distribution, because the mean is greater than the median.
Because the mean is the same as the median, this distribution is roughly symmetric.

Answers

The correct option regarding the skewness of the distribution is given by:

This is a skewed-left distribution, because the mean is less than the median.

Given the mean and the median of a distribution, how we classify it's skewness?

If the mean is greater than the median, the distribution is right-skewed, also called positively skewed. Otherwise, if the median is greater than the mean, the distribution is left-skewed, also called negatively skewed.

In this problem, we have that:

The mean is of 10.4.The median is of 13.4.

The median is greater than the mean, hence the correct option is given by:

This is a skewed-left distribution, because the mean is less than the median.

More can be learned about the skewness of a distribution at https://brainly.com/question/17179123

#SPJ1

Kevin went shopping for a new scooter. He bought one on sale for 15% off its regular price of $140. If sales tax is 8%, what was the total cost of the scooter?

Answers

Answer:

128.52

Step-by-step explanation:

140 × (1-0.15) = 119

119 × 1.08 = 128.52

Answer:

$128.52

Step-by-step explanation:

Firstly to find the price of the scooter, you divide 140 by 100 and then multiply it by 15. The answer is what you subtract from the original price.

15(140/100) = 21

140 - 21 = 119

Now that we have the price of the scooter after the discount, we need to figure out the price of the sales tax. Sales tax is based on the reduced price, so we need to take the same steps as before to find the price. Divide 119 by 100, then multiply it by 8, then add the total to 119.

8(119/100) = 9.52

119 + 9.52 = 128.52

Answer = $128.52

can someone help me with this, i don’t understand

Answers

Answer:

Step-by-step explanation:

This is just a complicated method to do ratios and proportions

use the given x and y values and the ratio will be determined by k.

Then use that k and the second x value to find y.

-8 = k(20)

k = -2/5

Next part

y = (-2/5)(-4)

y = 1.6

Which table has a constant of proportionality between y and x of 0.3?

Answers

Table C has a constant proportionality between y and x of 0.3.

A constant is an expression-unchanging value or number. It always has the same value.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.

The answer is the same as the one in the y column when you multiply the x number in table C by 0.3. The value that remains constant in the ratio is the proportionality constant. It is evident that table C is accurate because when you multiply each value in the x column by 0.3, the result is always the value in the y column.

Learn more about proportionality here:

https://brainly.com/question/28153968

#SPJ9

When the sample of participants is reflective of the characteristics of the population, it is said to be?

Answers

It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.

What is Generalizability? Simply said, generalizability is a measurement of the applicability of a study's findings to a larger population or set of circumstances. It is considered that a study has strong generalizability if its findings may be applied broadly to a wide range of individuals or circumstances. Researchers use generalizability in a scholarly setting. It can be characterized as the extrapolation of findings and recommendations from a study done on a sample population to the entire population.

To learn more about generalizable, refer to:

https://brainly.com/question/28237221

#SPJ4

Is 450 divisible by 2,3,4,5,6,8,9 or 10 explain why please

Help ASAP

Answers

Answer:

2,3,5,6,9 and 10

Step-by-step explanation:

450/2 = 225

450/3 = 150

450/4 = 112.5

450/5 = 90

450/6 = 75

450/8 = 56.25

450/9 = 50

450/10 = 45

To be divisiable, the answer should be an integer.

Thus: 2,3,5,6,9 and 10 are numbers which 450 is divisible by

Answer:

see below

Step-by-step explanation:

2×3×3×5×5 is it's prime factorization which has 2, 3, 4, 5, 6, 9, 10

I need help with example 9 please

Answers

Answer:

a reflection across the y-axis and a translation up of 4

Step-by-step explanation:

RSV has coordinates R(2,1), S(3,2), V(2,6). A translation maps point R to R' at
(-4,8). What are the coordinates for S' and V' for this translation?

Answers

Answer:

S' (- 3, 9 ) , V' (- 4, 3 )

Step-by-step explanation:

consider the coordinates of R and R'

R (2, 1 ) , R' (- 4, 8 )

2 → - 4 in the x- direction is - 6

1 → 8 in the y- direction is + 7

then the translation rule is

(x, y ) → (x - 6, y + 7 )

S (3, 2 ) → S' (3 - 6, 2 + 7 ) → S' (- 3, 9 )

V )2, 6 ) → V' (2 - 6, 6 + 7 ) → V' (- 4, 13 )

solve 2/43=t/13 a. 2/559 b. 43/26 c.559/2 dm 26/43

Answers

Option D 26/43 .

Given equation 2/43=t/13

To solve these type of question we have to follow some steps

that are as follows

Multiply all terms by the same value to eliminate fraction denominators

same value is 559 ....so multiply with 559 both sides

2/43=t/13

559×2/43 = 559×t/13 (by multiplying in LHS and RHS with same value)

Cancel multiplied terms that are in the denominator

13 ×2=43t

Multiply the numbers

26=43t

Divide both sides by the same factor

26/43=43t/43

Simplify

Cancel terms that are in both the numerator and denominator

Move the variable to the left

t=26/43 is the answer.

For more information about Simplification

Visit : brainly.in/question/7950433

#SPJ9

Evaluate the function.
ƒ(x) = −x² − 4x – 12
Find ƒ(-7)

Answers

Given ~

[tex] \tt \: f(x) = - {x}^{2} - 4x - 12[/tex]

[tex] \: [/tex]

put the value of x = -7 in given function ~

[tex] \tt \: f( - 7) = - ( { - 7})^{2} - 4( - 7)- 12[/tex]

[tex] \: [/tex]

[tex] \tt \: f( - 7) = - 49 +28 - 12[/tex]

[tex] \: [/tex]

[tex]\tt \: f( - 7) = - 21 - 12[/tex]

[tex] \: [/tex]

[tex] \underline{ \boxed{ \tt \red{ f( - 7) = -33}}}{ \green ✓}[/tex]

[tex] \: [/tex]

hope helps ~

What is 8-6= for the sum

Answers

The value and the summation expression are 2 and -6 + 8

How to determine the value and the summation expression?

The expression is given as:

8 - 6

When expressed as a sum, the expression can be rewritten as

-6 + 8

When the expression is evaluated, we have

-6 + 8 = 2

Hence, the value and the summation expression are 2 and -6 + 8

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

Equivalent expression to (3*6) to the 2nd power

Answers

The required equivalent expression would be 3¹² y¹⁰ which is the correct option (C).

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable.

We have been given that exponential function as

⇒ (3⁶/y⁻⁵)²

= (3⁶/1 / 1/y⁵)²

= (3⁶ × y⁵)²

= 3¹² y¹⁰

Therefore, the required equivalent expression would be 3¹² y¹⁰ which is the correct option (C).

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ1

The question seems to be incomplete the correct question would be

Select the equivalent expression to (3⁶/y⁻⁵)²

(A) 3¹⁰ y¹²

(B) 3⁶ /y¹⁰

(C) 3¹² y¹⁰

A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not
replacing it, and then choosing a red marble?
O
16
O
12
O
11

Answers

Answer:

The answer will be

[tex] \frac{1}{4} \times \frac{1}{3} = \frac{1}{12} [/tex]

Or 12%

At a used book sale, all paperback books are the
same price. Henry buys 4 paperback books for
$3.20. Lainey buys 9 paperback books.

Answers

Answer:

Uh  Lainey spends 7.20$

Step-by-step explanation:

3.2/4 is 1 book price, 0.8 is one book price, so 9 books price is 0.8*9 which is 7.2

Other Questions
Technician a says kinetic friction changes kinetic energy into thermal energy. technician b says static friction holds the car in place when it is stopped. who is correct? Which sign of a serious adverse effect requires the nurse to monitor the patient receiving iv metronidazole (flagyl) for treatment of giardiasis? Which organ is super important in helping you in both conserving heat and cooling your off?A. Skeletal SystemB. Excretory SystemC. Respiratory SystemD. Integumentary (skin) System Molly and jared have recently started dating, but molly gets annoyed by jared's reluctance to make a commitment. what psychosocial stage do molly and jared differ on? How might the events of act 1 have unfolded of rebecca nurse and john proctor had not left the house? How many people died from slave labor during the time Joseph Conrad called the vilest scramble for loot that ever disfigured the history of human conscience Four point charges lie on the vertices of a square with side length L. Two adjacent vertices have charge Q, while the other two have charge -Q. What is the magnitude of the electric field at the center of the square? Exercise 1 Write a personal pronoun that agrees with the indefinite pronoun antecedent in the sentence. Underline the antecedent. Remember to put everything back in _________________ place. Data 100 if we're trying to predict the results of the clinton vs. trump presidential race, what is the population of interest? An x-ray has a wavelengthof 2.2 x 10-11 m. What isthe frequency of the x-ray? Help asap please Exercise 1 Write P above each proper noun and C above each common noun. Soldier Field in Chicago rocked to the cheers of Germans and Bolivians. Exercise 2 Draw one line under each main clause and two lines under each subordinate clause. Then write c if the sentence is complex or cc if the sentence is compound-complex. My journalism teacher, whose opinion I respect, told me my article was good. Chaperone proteins or chaperonins assist in the proper folding of proteins. explain the process. Exercise 1 Underline the word that is spelled correctly.The school is (scheduling, scheduleing) parent-teacher conferences for Tuesday. Drag each manager behavior to the corresponding way that organizations fail to foster high ethical standards. no items may be used more than once. Why were additional amendments added to the constitution after the bill of rights? The social-media equivalent of a personal journal or diary is called a(n) ______. 3. Which of the following statements about matter is FALSE?O Matter can be classified as an element and a mixture.O Matter is anything that occupies and has mass.O Matter exhibits two types of change: physical and chemical.O Mafter refers to everything that makes up the entire universe. Mysql ____________ can speed up query execution as well as protect against sql injection attacks. The water level in Colorado river is 2.55 m below average. a large rainfall caused The water level to rise 0.8 m. what is the water level after the rainfall?