Question

The system of linear equations given can be graphed on a coordinate plane.

{
y
=
−
1
2
x
−
3
y
=
2
x
−
8

What is the solution to this system of equations?

Answer 1

Set the right sides equal: −(1/2)x − 3 = 2x − 8.
Multiply by 2: −x − 6 = 4x − 16 → −5x = −10 → x = 2.
Then y = 2(2) − 8 = −4.

Solution: (2, −4).