Question

Y = 7x - 53 y = -4x + 35 a. ( -3, -8) c. ( -8, 3) b. ( 8, 3) d. No solution

Answer 1

Hi there !

Y = 7x - 53
Y = -4x + 35

I always used substitution to solve equations so we gonna use it here as well :)
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We gonna solve y = 7x - 53 for y
Let's start by substitute 7x - 53 for y in y = -4x + 35
y = -4x + 35
7x - 53 = -4x + 35
Common terms
7x + 4x = 35 + 53
11x = 88
divide both sides by 11
11x/11 = 88/11
x = 8
Now, since we have the value for x, it will be easier for us to find Y. So, we gonna use the value of x which is 8 to find y.
In order to find the value for y, we must substitute 8 which is the value for x in y = 7x - 53
y = 7(8)-53
y = 56 - 53
y = 3

The final answer is : X = 8 and Y= 3
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The correct option is B
(8,3)

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I hope that helps!