Question

Select the correct answer.
Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?

A graph with y and x-axis in positive and negative planes. Five dots marked on the plane are joined by lines.

A.
A
B.
B
C.
C
D.
D

Answer 1

Solve by setting 3x − 2 = −2x + 3:
3x − 2 = −2x + 3 → 5x = 5 → x = 1. Then y = 3(1) − 2 = 1.

The intersection is (1, 1). Pick the letter that labels the point at (1,1) on your graph (if you can, upload the image or tell me which letter is at (1,1) and I'll confirm).