Question

Solve the equation below and state the number of solutions. ¼( 8x- 16) + 2x = ½(10x - 8) - x Is -10 a solution to the equation above? Show your work and explain why or why not.

Answer 1

Explanation:

Given that:

`(1)/(4 )(8x -16) + 2x = (1)/(2)(10x -8)-x`

Open brackets

`2x - 4+ 2x = 5x - 4 - x`

`- 4 = 4x-4`

`4x = 0`

x = 0/4

x = 0

Hence, x is not - 10