Question

Solve using elimination.
- 8x + 2y = -20
8x - 5y = 14

Answer 1

x = 3, y = 2

Explanation:

~ Through process of elimination ~

1. - 8x + 2y = -20

+ 8x - 5y = 14

2. Simplify to solve for y through simple algebra:

2y - 5y = -20 + 14 ⇒ - 3y = - 6 ⇒ y = 2

3. Now substitute this value of y into the to equation - 8x + 2y = -20 to get x:

- 8x + 2 ( 2 ) = -20 ⇒

-8x + 4 = -20 ⇒

-8x = -24 ⇒

x = 3