Q3).
0.4x + 0.3y = 1.7
0.7x - 0.2y = 0.8
Solve it by using substitution method.
Answers
Step-by-step explanation:
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given pair of linear equations are
[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7 \\ \\ \rm :\longmapsto\:0.7x - 0.2y = 0.8[/tex]
can be rewritten as on multiply by 10,
[tex]\rm :\longmapsto\:4x + 3y = 17 - - - - (1)\\ \\ \rm :\longmapsto\:7x - 2y = 8 - - - - - (2)[/tex]
From equation (2)[tex]\rm :\longmapsto\:2y = 7x - 8[/tex]
[tex]\rm\implies \:\boxed{\tt{ y = \frac{7x - 8}{2}}} - - - - (3) [/tex]
On substituting the value of y in equation (1), we get
[tex]\rm :\longmapsto\:4x + 3\bigg( \dfrac{7x - 8}{2} \bigg) = 17[/tex]
[tex]\rm :\longmapsto\:\dfrac{8x + 21x - 24}{2} = 17[/tex]
[tex]\rm :\longmapsto\:29x - 24 = 34[/tex]
[tex]\rm :\longmapsto\:29x = 34 + 24[/tex]
[tex]\rm :\longmapsto\:29x = 58[/tex]
[tex]\bf\implies \:x = 2 - - - - (4)[/tex]
On substituting x = 2 in equation (3), we get
[tex]\rm :\longmapsto\:y = \dfrac{7 \times 2 - 8}{2} [/tex]
[tex]\rm :\longmapsto\:y = \dfrac{14 - 8}{2} [/tex]
[tex]\rm :\longmapsto\:y = \dfrac{6}{2} [/tex]
[tex]\bf\implies \:y = 3[/tex]
So, we get
[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\bf{x = 2} \\ \\ &\bf{y = 3} \end{cases}\end{gathered}\end{gathered}[/tex]
VerificationFrom equation (1),
[tex]\rm :\longmapsto\:0.4x + 0.3y = 1.7[/tex]
On substituting the value of x and y, we get
[tex]\rm :\longmapsto\:0.4(2) + 0.3(3) = 1.7[/tex]
[tex]\rm :\longmapsto\:0.8 + 0.9 = 1.7[/tex]
[tex]\rm :\longmapsto\:1.7 = 1.7[/tex]
Hence, Verified▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Basic Concept :-To solve systems using Method of Substitution, follow this procedure:
1. Select one equation and solve it for one of its variables.
2. In the other equation, substitute the value of one variable evaluated in step 1 to reduced the equation to one variable.
3. Solve the equation to get the value of this variable
4. Substitute the value found in to first equation involving both variables and solve for the other variable.
Related Questions
Mr.and Mrs. Hawkins have a budgeted $500 from Marion's graduation. the rent is $150.how much can they spend per person on food if each of the 30 guest gets $2.50 group photos.
Answers
Answer:
45
Step-by-step explanation:
45! £€#^_#÷5€£¥¥*^
Plz complete the table
Answers
Answer:
2 and 2
8 and 4
Step-by-step explanation:
Plug the respective x values in to find the y-values or use a GDC.
Line k passes through the point (6, -7) and has a slope m=-= 2 Which is the equation of a line that is parallel to line k and passes through the point (-4, 9)?
Answers
Answer:
k = -2x + 1
Step-by-step explanation:
Assuming slope is -2 (and not -=2)
9 = -4(-2) + b
9 = 8 + b
b = 1
636/526 pls answer and you get points
Answers
Answer:
1.20912547529
Step-by-step explanation:
HELP RIGHT NOW
(covered ones aren’t important)
Base: $38,000; Fee: $2 per application; Applications: 800
Answers
Answer:
ikaw Mag answer nyan
Step-by-step explanation:
bubu
Answer:
39,600
Step-by-step explanation:
38,000 +(2x)
X=800
38000+(2•800)
38000+1600
39600
Pls help Evaluate (7-3) = 2
Answers
Answer:
2
Step-by-step explanation:
subtract the. divide it once
Answer: 4 = 2
Step-by-step explanation:
1. (7-3) = 4
2. 4=2
PLEASE ANSWER FAST
Type the correct answer in the box. Use numerals instead of words.
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is
Answers
Answer:
y-intercept is -18
Step-by-step explanation:
The total y=mx+b equation is y=4x-18, you can check in a calculator. I checked on a graphing calculator, and solved it via graphing on a piece of paper.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is -18.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A line that passes through the point (x, y), with a y-intercept of b and a slope of m, can be represented by the equation,
y = mx + b.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = 4 (given)
So, the equation of the line is,
y - y₁ = m(x - x₁) equation 1
And here
x₁ = 3 and y₁ = -6.
Substituting the values to the equation 1,
y - (-6) = 4 (x - 3)
y+6 = 4x -12
y = 4x -18.
Comparing with the slope-intercept form,
we get y-intercept b = -18
Therefore, the equation is y = 4x -18 and y -intercept of the equation is -18
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
Please helppppppp :,(
Answers
Answer:
D
Step-by-step explanation:
Please mark brainliest
Which statements are true? Select all that apply
Answers
Answer:
a is the answer hope you get it right
Hello me please!!! I don't understand this question and it's due tonight!!!!
Зу + 4х = 12
Graph the equation using the x coordinates -2, -1, 0, 1, 2
Answers
Answer:
3y+4x=12
when x is -2
3y+ 4(-2)=12
3y-8=12
3y=20
y=20/3=6.67
when x is -1
3y-4=12
3y=16
y=16/3=5.33
when x is 0
3y-0=12
3y=12
y=4
when x is 1
3y+ 4 =12
3y =8
y=8/3=2.67
when x is 2
3y +8 =12
3y=4
y=4/3=1.33
How many 4-digit natural numbers are there?
Answers
Answer:
9000
4-digit numbers..
What’s the answer to this geometry problem?
Answers
Answer:
x = 3
Step-by-step explanation:
(13x - 2) and (12x + 1) are vertically opposite angles and are congruent , so
13x - 2 = 12x + 1 ( subtract 12x from both sides )
x - 2 = 1 ( add 2 to both sides )
x = 3
Please help me asap!!!!!!!!
Answers
Answer:
7/4 and 3/8.
Step-by-step explanation:
You can get this by dividing all possible answers, and if the decimal stops you have a terminating decimal.
Determining a Missing
f(x)
-3
-12
If the table of the function contains exactly two potential
turning points, one with an input value of -1, which
statement best describes all possible values of m?
Om 2-12
0 -12
Oms 4
O m2 4 or ms -12
-2
m
-1
4
0
0
1
-4 -2
2.
Answers
Answer:-36
Step-by-step explanation:-3(-1)-12
so negative times negative is positive so -3 x -1 is 3 so now positive times negative is negative so 3 x -12 is -36
The statement which best describes all the possible values of m is –12 < m < 4.
What is a Turning Point of a Function?The turning point of a function is defined as the point where the graph of the function changes it's form. That is, an increasing graph changes to decreasing at that point and vice versa.
Given a table values of function.
Also, given that, one of the turning point is at x = -1.
At x = -1, f(x) = 4.
After it, the function decreases.
We can also see another turning point at x = 1.
At x = 1, f(x) = -4.
After x = 1, the function again increases to get the value f(x) = -2.
So x = -2 is not a turning point.
So the value of f(-2) = m lies in between -12 and 4.
Hence the correct option is B.
Learn more about Turning Points here :
https://brainly.com/question/9982140
#SPJ7
Your question is incomplete. The complete question is given below.
If the table of the function contains exactly two potential turning points, one with an input value of –1, which statement best describes all possible values of m? m ≥ –12 –12 < m < 4 m ≤ 4 m ≥ 4 or m ≤ –12
The library of congress in Washington DC is considered the larger library in the world. They often receive boxes of books to be added to their collection. Since books can be quite heavy, they aren’t shipped in big boxes. If, on average each box contains about 8 books how many books are received by the library in 6 boxes, 10 boxes or n boxes
Answers
Answer:
6 boxes have 48 books
10 boxes have 80 books
n boxes have n×8 books
Step-by-step explanation:
if one box has 8 books then n no.of boxes will have n × 8 no.of books
help me pls, if p ll q, then what is the measure of ACB
Answers
The area of a rectangle garden is 4158m^2. If the width of the garden is 54m, what is its length?
Answers
Answer:
Step-by-step explanation:314
Answer:
length-77m
Step-by-step explanation:
since we already know the area which is 4158m² and width which is 54m we will do the opposite of multiplication to find the length which is division you divide 4158 by 58 and we get 77m
State the angle relationship and state the measure of each angle indicated that makes lines u and v
parallel
Thank you smmmmm I will mark you btw !
This is a better pic!
Answers
Answer:
Q9. ?=53° (corr angles, u//v)
Q10. ?=58° (alt angles, u//v)
[tex]\sf 500+600+500[/tex]
Answers
Answer:
1,600
Step-by-step explanation:
pls brainliest plss
What is the value of u + 4v – w, if u = 10, v = 4, and w = 6?
Answers
Answer: 20
Step-by-step explanation:
u + 4v - w
10 + 4(4) - 6
10 + 16 - 6
26 - 6
20
3. Find the sum of TU and OL.
Answers
Answer:
18
Step-by-step explanation:
by similarity of triangles TYU and OYL we have
[tex]x + 2 = 2(2x - 14) = 4x - 28 \\ 3x = 28 + 2 = 30 \\ x = 10[/tex]
then
TU=6, OL=12
Find the slope and y-intercept of the graph of the linear equation.
y+3=2/3x
Answers
Answer:
Slope: 2/3
y-intercept: -3
Step-by-step explanation:
Subtracting both sides of the equation by 3 to make it in 'y=mx+c' form:
y + 3 - 3 = 2/3x - 3
y = 2/3x - 3
Seeing this,
m = 2/3
c = -3
Since m is the slope, the slope is 2/3
Since c is the y-intercept, the y-intercept is -3
Hope this helps and have a wonderful time ahead at Brainly! :D
I NEED THIS ASAP!!!!!
1/2x*x*x*1/2x=360
Solve for x
Answers
Answer:
X to the 4th power = 1440
Step-by-step explanation:
Will mark brainliest, plss help
Answers
Answer
C and A
Step-by-step explanation:
Helppp meeee pleaseeee !
Answers
Answer:
51.2 degrees Celsius
Step-by-step explanation:
What is the equation of the line through the longs (1,1) (5,4) (9,7) and (13,10)
Answers
Answer:
y= [tex]\frac{3x}{4}[/tex] + [tex]\frac{1}{4}[/tex]
you first find the gradient of the line by picking out any two coordinates then u fill the values in the equation of a line
Can someone help me do this
Answers
Answer:
5x +2 = 87
So X = 17
3y = 42
So Y = 14
the box that shoes come in are often used in other capacities once the shopper has bought theshoes sometimes the boxes are used to hold other items so it is helpful to know the volume of the box if the area of the base of the box is 112 square inches and the hight is 3.5 inches. What is the vloume of the box?
Answers
The box with area of the base of the box is 112 square inches and the height is 3.5 inches has volume of 392 in³
A cuboid is a three dimensional shape polyhedral with six quadrilateral faces. The volume of a cuboid is:
Volume of cuboid = length * width * height
A box is a three dimensional shape in the form of a cuboid. The volume of a box is:
Volume of box = length * width * height
Volume of box = area of base * height
The area of the base of the box is 112 square inches and the height is 3.5 inches, hence:
Volume of box = 112 in² * 3.5 in
Volume of box = 392 in³
The box has volume of 392 in³
Find out more at: https://brainly.com/question/16563571
2c–8°, 3c–14°, and c+15°
solve for c
Answers
Answer:
Simplifying
c + -2 = 3c + 14
Reorder the terms:
-2 + c = 3c + 14
Reorder the terms:
-2 + c = 14 + 3c
Solving
-2 + c = 14 + 3c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3c' to each side of the equation.
-2 + c + -3c = 14 + 3c + -3c
Combine like terms: c + -3c = -2c
-2 + -2c = 14 + 3c + -3c
Combine like terms: 3c + -3c = 0
-2 + -2c = 14 + 0
-2 + -2c = 14
Add '2' to each side of the equation.
-2 + 2 + -2c = 14 + 2
Combine like terms: -2 + 2 = 0
0 + -2c = 14 + 2
-2c = 14 + 2
Combine like terms: 14 + 2 = 16
-2c = 16
Divide each side by '-2'.
c = -8
Simplifying
c = -8
Step-by-step explanation:
Please help me with this homework
Answers
math you do math okay math math math math math
