Question

Two linear equations are shown.

A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFraction x plus 2 and passes through (negative 6, 0) and (0, 2). The second line is labeled y equals StartFraction 4 over 3 EndFraction minus 5.
What is the solution to the system of equations?

(7, 4)
(7, StartFraction 13 over 3 EndFraction)

Answer 1

Set the right sides equal: (1/3)x + 2 = (4/3)x − 5.
Subtract (1/3)x: 2 = x − 5, so x = 7.
Then y = (1/3)(7) + 2 = 7/3 + 6/3 = 13/3.

Solution: (7, 13/3).