Question

Which ordered pair is the solution to the system of equations?

Answer 1

To solve the simultaneous equations given by

$y=x-4$ (Equation 1), and

$-4x+3y=-3$ (Equation 2),

Let us substitute the expression of y from Equation 1 into Equation 2. Hence, we have,

$-4x+3(x-4)=-3\\-4x+3x-12=-3\\-x=-3+12\\-x=9\\x=-9$

Pluggin $x=-9$ into Equation 1, we have the value of y,

$y=-9-4\\y=-13$

Hence, the answer is $x=-9, y=-13$. Second answer choice.

ANSWER: $(-9,-13)$