Question

Given the system of equations below,explain if (6,-9) is a solution or not.

7x+2y=24
8x+2y=30

Answer 1

(6,-9) is a solution.

Explanation:

Multiply each equation by the value that makes the coefficients of y opposite.

(-1) · (7x+2y) = (-1) · (24)

8x+2y = 30

Simplify.

-7x-2y = -24

8x+2y = 30

x = 6

-7 · x - 2y = -24

-7 · 6 - 2y = -24

-42 - 2y = -24

-2y = 18

y = -9