Question

Graph the system of linear equations.

negative StartFraction one-half EndFraction y equals StartFraction one-half EndFraction x plus 5 and y equals 2 x plus 2.y = x + 5 and y = 2x + 2.

The solution to the system is (
,
).

Answer 1

First put the first equation in y = mx + b form:
-1/2 y = 1/2 x + 5 → multiply both sides by -2 → y = -x - 10.

Now set y = -x - 10 equal to y = 2x + 2:
-x - 10 = 2x + 2
-3x = 12
x = -4

Then y = 2(-4) + 2 = -8 + 2 = -6.

The solution is (-4, -6).