how do you solve this (first equation) x=2y-1 (second equation) x+y=40

Answers

Answer 1

Answer:

[tex]x = 26 \frac{1}{3} \\ [/tex]

[tex]y = 13 \frac{2}{3} \\ [/tex]

Step-by-step explanation:

x = 2y - 1

x - 2y = -1 ________(1)

x + y = 40________(2)

(2) - (1)

[tex]x + y - (x - 2y) = 40 - ( - 1) \\ x + y - x + 2y = 40 + 1 \\ 3y = 41 \\ y = \frac{41}{3} \\ y = 13 \frac{2}{3} \\ [/tex]

y = 13 2/3

[tex]x + y = 40 \\ x + 13 \frac{2}{3} = 40 \\ x = 40 - 13 \frac{2}{3} \\ x = 40 - \frac{41}{3} \\ x = \frac{3(40) - 41}{3} \\ x = \frac{120 - 41}{3} \\ x = \frac{79}{3} \\ x = 26 \frac{1}{3} \\ [/tex]


Related Questions

PLZ HELP ASAP! Solve the following equation for x: 4x + 12y = -24

Answers

Answer:

This is impossible

Step-by-step explanation:

Answer: x= -6 - 3y

Step-by-step explanation:

what is -3 increased by -9

Answers

Answer:

-12

Step-by-step explanation:

-3 + -9 = 12

hope this helps

Answer:

-12

Step-by-step explanation:

-3 + -9

turns into

-3 - 9

Which means on the number line, we start at -3 and move to the left 9 units.

When we move to left on the number line by 9, we are at -12.

Which means -3 - 9 (-3 + -9) = -12

Jessie made 15 sales calls yesterday. Clay made n calls. If clay made 3 times as many sales calls as jessie, choose the equation thats shows how many sales calls clay made yesterday

Answers

It would be

N = 15 x 3

Answer:

n = (15)(3) = 45

Step-by-step explanation:

This problem is very simple, all we need to do is take the information we get and put it in equation form.

Jessie made 15 calls, Clay made 3 times as many as her. 15 times 3 is 45. Put in equation format it will look like:

n = (J) * (3)

n is how many calls Clay made, and J is how many calls Jessie made.

I need Help Plz


A. 1


B. 3


C. 144


D. 432

Check the image

Answers

9514 1404 393

Answer:

  (d)  432

Step-by-step explanation:

Your calculator can help with this. Be careful to enter the denominator correctly.

Your calculator may want to see this as ...

  (14 -3^2 +1)^2/((1/3)*(1/4))

According to the order of operations, you would evaluate this as ...

  (14 -3^2 +1)^2/((1/3)*(1/4)) . . . . . given

  (14 -9 +1)^2/(1/12) . . . . . evaluate inside parentheses

  (5 +1)^2/(1/12) . . . . . . . continue to evaluate inside parentheses

  6^2/(1/12) . . . . . . . continue to evaluate inside parentheses

  36/(1/12) . . . . . . evaluate exponent

  36·12 . . . . . . partial step in evaluating the division

  432 . . . . . the result of the division

−x2+3x−2 if x=−4 help me

Answers

Answer:

-6

Step-by-step explanation:

-(-4)2+3(-4)−2 would be the equation so you'd just have to solve it using PEMDAS

Please help
(and explain how you got the answer)
Solve for x.
1/4 + 1/2 + x = −3/4
Enter your answer in the box.

x =

Answers

Answer:

x=-1.5

Step-by-step explanation:

To solve for x, you need to rearrange so the x is on one side of the "=" by itself.

So To do that, first you need to subtract 1/4 on both sides of the "=". This leaves you with 1/2+x=-3/4-1/4. You can simplify the -3/4-1/4 to -1 (-4/4). So, you now have 1/2+x=-1.

The next step is to subtract 1/2 on both sides of the "=". This leaves you with x=-1-1/2. Again, you can simplify the -1-1/2 to -3/2 which can be written as -1.5. So, you now have x=-1.5, which is the final answer.

The question may ask you to write your answer in the form of a fraction, in which case your answer x=-3/2. If the questions wants it written as a mixed number, your answer would be -1 1/2.

I have attached a photograph of this method written out using the funnel technique.

Solve the equation for x :
4(x-3)-6=x+6
I don't really know how to do this when there is an = sign in it please help me.

Answers

X=8 my photo has the work done

5. The box plot summarizes the test scores for 100 students: u 55 60 65 70 75 80 85 90 95 100 Which term best describes the shape of the distribution? a. bell-shaped C. skewed b. uniform d. symmetric​

Answers

C would be the correct answer

The shape of the distribution describes that distribution as skewed distribution. Option C is correct.


Given that,
The box plot summarizes the test scores for 100 students: u 55 60 65 70 75 80 85 90 95 100 Which term best describes the shape of the distribution is to be determined.

What is the box plot shape?

The box plot shape is used to indicate if a statistical particular set is either normally distributed or skewed.

Here,
There is a property of the box plot i.e. When the median is in the center of the box, and the whiskers are about the same on both flanks of the box, then the distribution is symmetric. when the median is anywhere to the box except the center, and if the whisker is more concise on the left or right end of the box, then the distribution is skewed.

Thus, the shape of the distribution describes that distribution as skewed distribution. Option C is correct.

Learn more about box plots here:
https://brainly.com/question/12750007
#SPJ2

What is the value of g(2)

Answers

Answer:

Its value is 9.8 m/s2

Answer:

9.8 m/s2

Step-by-step explanation:

An entry level technical writer's annual pay is $53,768 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its technical writers. If the firm cuts the work year to 50 weeks but keeps the same rate of pay, how much should the technical writer expect his annual pay to decrease?

Answers

Answer:

im not too sure

Step-by-step explanation:

I think it is £1068 but I’m not sure

Can somebody help me with social studies please?
Answer ASAP
More then 1 person more people answer

Answers

Sure, what grade are you in and what are the questions about?

Answer:

What do u need help with? I can possibly help

Step-by-step explanation:

How many solutions are there for this equation? Why?​

Answers

Answer:

d

Step-by-step explanation:

Here this one Help asap

Answers

Answer:

Step-by-step explanation:

s x 4

d x 3.14

True or False? No matter how the colonial government was setup, England had the ultimate say within the colonies

Answers

True I think but I hope you get right

Answer:

true

Step-by-step explanation:

England claimed the colonies, so they ruled over them.

Help is appreciated! :)
(Question is in image below)

Answers

Answer:

92 more miles (D)

Step-by-step explanation:

I believe the answer is 92 more miles (d). So we know that Mr Klein is driving at a steady 60 miles per hour for 42 minutes. There are 60 minutes in an hour, so every minute they've driven a mile. Therefore, in 42 minutes, they've driven 42 hours. And then 134 - 42 is equal to 92, which is your final answer.

Hope this helped!! :D

How tall is House B?

Answers

Answer:

25 maybe I don't now ok because is house a is 24 maybe house b will be 25

A circle on the coordinate plane has a diameter
with endpoints at (6, 8) and (15, 8).
a. What are the coordinates of the center of the
circle?
b. What is the diameter of the circle?
C. What is the radius of the circle?
d. Identify the coordinates of another point
on the circle. Explain how you found
your answer.

Answers

9514 1404 393

Answer:

  a. (10.5, 8)

  b. 9

  c. 4.5

  d. (10.5, 12.5)

Step-by-step explanation:

a. The center of the circle is the midpoint of the diameter. Its coordinates are the average of the end point coordinates.

  C = ((6,8) +(15, 8))/2 = (21, 16)/2 = (10.5, 8) . . . circle center

__

b. The diameter lies on the horizontal line y=8, so its length is the difference of the x-coordinates of the end points: 15 -6 = 9 . . . circle diameter

__

c. The radius is half the diameter: 9/2 = 4.5 . . . circle radius

__

d. Another point on the circle will be 4.5 units from the center on the same vertical line: (10.5, 8) +(0, 4.5) = (10.5, 12.5) . . . another point on the circle

What is the slope of the line that is perpendicular to the line that passes through the points (-1,3) and (2,-4)?

Answers

Hey there! Remember that perpendicular lines are the negative reciprocal to the original slope. With that in mind, the best way to find the slope is by using equation m=y2-y1/x2-x1, so then if we plug this in we get:

-4-3/2-(-1)

As -4 is our y2, -3 is our y1, 2 is our x2, and -1 is our y1.

You should get -7/3, that’s the original slope. Since this is a perpendicular line we MUST FLIP it and CHANGE THE SIGN.

So our FINAL answer would be: 3/7

Hope that helps!!!

Graph thee line that represents this equation:
y+2=1/2(x+2)​

Answers

Answer:

[tex]y = \frac{1}{2} x - 1[/tex]

Explanation:

The first pic shows the line graphed, while the second pic shows how to turn the equation into proper slope-intercept form.

The only steps the second pic is missing however, is flipping the sides around to be better understood (optional), and more importantly subtracting 2 on both sides in order to move it to the other side, to get 2y = x - 2. And dividing the 2 on both sides to get y by its self, to get:

y = (x-2)/2 , or y = 1/2 x - 2/2 , which if you notice 2/2 makes it equal to one whole so your answer is y = 1/2 x - 1 .

If you like this answer can you please mark me brainliest? :)

(3a + 4b) - (5a - 2b) solucion porfavor es urgente

Answers

Answer:

(3a+4b)-(5a-2b) = −3a+6b

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

Hey there!/¡Hola!

(3a + 4b) - (5a - 2b)

= 3a + 4b - 5a - 2b

COMBINE the LIKE TERMS/COMBINAR los TÉRMINOS LIKE

= (3a - 5a) - (4b - 2b)

= 3a - 5a - 4b - 2b

= -2a + 6b

Result/Resulta: -2a + 2b

Good luck on your assignment & enjoy your day!/¡Buena suerte en tu tarea y disfruta tu día!

~Amphitrite1040:)

OLEASE HELP ME ITS ALGEBRA THANK YOUUUU

Answers

Answer:

$8,704

Step-by-step explanation:

Solve for x: 0.4x+3.8=1.6x+1.2-0.6x
please help me!

Answers

I got x = 4.3 (I cant type it but there’s a line above 3 which means there’s no end)

A square playground has an area of 200 m​2​. Estimate the length of one side.
A: 14m B: 100m C: 20 m
Pick one!
Plzzz help me I will give Brainliest I need Math HW done asap!

Answers

Answer:

It should just be 14m .

Step-by-step explanation:

Area is just height x length and since he know that the sides are all equal because it's a square they have to be x amount times x amount 14 x 14 = 197 which is the closest answer we can get with these opions.

Which of the following describes a geometric sequence?
A. a sequence in which the terms are not related in any way
B. a sequence in which terms are given by multiplying the previous term by a common ratio
C. a sequence in which terms are given by adding the previous term to a common ratio
D. a sequence in which terms are given by subtracting the previous term from a common ratio

Answers

Answer:

B. A sequence in which terms are given by multiplying the previous term by a common ratio

Hope this helped. A brainliest would be very much appreciated. (I need 5 brainliest so I can level up) :)

Answer:

c

Step-by-step explanation:

Fin de range of the data 1 0 5 6 7 9 1 6

Answers

The answer of range I think is 9, due to you needing to put the numbers in order with 0 being the least and 9 being the most. Range is subtracting the highest and lowest number. So it is either 9 or 8 if they won’t count 0 as a number.


What’s the domain and range ?

Answers

Answer:

2,5 I'm guessing

Step-by-step explanation:

because two up and five to the right even though its kinda blurry

5. Your soccer team is selling hoagies for a fundraiser. You need to purchase at least 8 pounds of ham and turkey. Ham costs $4 per pound and turkey costs $5 per pound. You have $40 to spend.​

Answers

Answer:you would spend 36 dollars and would have 4 dollars left, you would spend 16 dollars on ham and 20 on turkey

Step-by-step explanation:

36 is 70% of what number​

Answers

The answer is 51.43 because 36 is 70 percent of 51.43
36 is 70% of 51.43
1. We have, 70% x x=36
2. Or 70/100x X = 36
3. Multiplying both sides by 100 and dividing both sides by 70,
We have X=36 x 100/70

X = 51.43

It is claimed that 79% of all Americans live in cities with population greater than 100,000 people.
Based on this, if 41 Americans are randomly selected, find the probability that

a. Exactly 30 of them live in cities with population greater than 100,000 people.

b. At most 33 of them live in cities with population greater than 100,000 people.

c. At least 34 of them live in cities with population greater than 100,000 people.

d. Between 28 and 33 (including 28 and 33) of them live in cities with population greater than
100,000 people.

Answers

Tbh bro i dont even know the answer

Which of the following expressions is equivalent to 24/8 ·6/3 · 3?

-7 · 6/3 · 3

-28/4 · 3

-28/24/9

-7 ·6/9

Answers

Answer:

I think second one is the ans

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