Question

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

{y=x−4−4x+3y=−3


(0, −1)

(−9, −13)

(−6, −10)

(−6, 2)

Answer 1

The answer is (-9, -13)

I'm in k12, this is the answer

Answer 2

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)`