Question

Consider the system of equations.

5x + 2y = 12

5x – 2y = 28

What is the solution to the system of equations?

A.
(5, -6.5)

B.
(4, 16)

C.
(4, -4)

D.
(-4, 4)

Answer 1

C

Explanation:

5x + 2y = 12 --(1)

5x - 2y = 28 --(2)

(2) - (1):

5x - 2y - 5x - 2y = 28 - 12

-4y = 16

y = -4

when y = -4, x = 4