Question

Given the system of equations, what is the solution?

x + 2y = 7
x - 2y = -1

A.) {(-4, 6)}
B.) {(-8, -12}
C.) {(3,2)}

Answer 1

9514 1404 393

Answer:

C.) (3, 2)

Explanation:

The coefficients of y are opposites, so we can add the two equations to eliminate y.

(x +2y) +(x -2y) = (7) +(-1)

2x = 6 . . . . . simplify

x = 3 . . . . . . matches choice C