### Home > CCG > Chapter 8 > Lesson 8.2.2 > Problem8-89

8-89.

Multiple Choice: What is the solution to the system of equations at right? Homework Help ✎

$y = \frac { 1 } { 2 }x - 4$
$x − 4y = 12$

1. $(2, 0)$

1. $(16, 4)$

1. $(−2, −5)$

1. $(4, −2)$

1. none of these

First solve the bottom equation for $y$.

$4y=x-12$, so $y=\frac{1}{4}x-3$

Now set the two equations equal to each other.

$\frac{1}{2}x-4=\frac{1}{4}x-3$

Now solve for $x$.

$\frac{1}{4}x=1$

$x=4$, so D