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sertanlavr [38]
3 years ago
10

Substitution of y= 4x-3 3x-2y=16

Mathematics
2 answers:
bearhunter [10]3 years ago
4 0

Answer:

(-2,-11)

Step-by-step explanation:

3x-2(4x-3)=16

3x-8x+6=16

-5x=10

x=-2

Plug back in

y=4(-2)-3

y=-8-3

y=-11

Andrew [12]3 years ago
3 0

Answer:

(-2,-11)

Step-by-step explanation:

y= 4x-3

3x-2y=16 <— substitute y from above

——————————————————————————-

3x-2y = 16

3x-2(4x-3) = 16

3x-8x+6 = 16

-5x + 6 = 16

-5x ÷ 10

x = -2

——————————————————-

Substitute the x from above to any equation to get the y value

3x-2y=16

3(-2)-2y=16

-6 - 2y = 16

-2y = 22

y = -11

——————————————————-———————

(-2,-11)

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erastova [34]
Comment
This is an area problem. The key words are 120 square feet and 12 feet longer.
And of course width is a key word when you are reading this.

Formula
Area = L * W

Givens
W = W
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Substitute and Solve
Area = L* W
120 = W*(W + 12)
W^2 + 12W = 120 square feet
w^2 + 12w - 120 = 0

This does not factor easily. I would have thought that a graph might help but not if the dimension has to be to the nearest 1/100 of a foot. The only thing we can do is use the quadratic formula.

a = 1
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c = - 120

w = [ -b +/- sqrt(b^2 - 4ac) ]/(2a)
w = [-12 +/- sqrt(12^2 - 4*(1)(-120)] / 2*1
w = [-12 +/- sqrt(144 - (-480)]/2
w = [-12 +/- sqrt(624)] / 2
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w = (12.979992) / 2
w = 6.489995 I'll round all this when I get done

L = w + 12
L = 6.489995 + 12
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check
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Answer
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Note: in the check if you round first to the answer, LW = 120.0001 when you find the area for the check. Kind of strange how that nearest 1/100th makes a difference.
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