Question

Solve the system of equations graphed on the coordinate axes below.
y, equals, minus, 5, x, minus, 8
y=
−5x−8
y, equals, start fraction, 3, divided by, 2, end fraction, x, plus, 5
y=
2
3
​
x+5

Answer 1

Set the right-hand sides equal:
-5x − 8 = (3/2)x + 5.
Multiply by 2: -10x − 16 = 3x + 10.
So -13x = 26, hence x = -2.
Plug in: y = -5(−2) − 8 = 10 − 8 = 2.

Solution: (x, y) = (−2, 2).