Question

The expression on the left side of an equation is shown below.

-4(x-2)+5x=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
1)2(x + 4) - x
2)x+8
3)4(x + 2) - 5x
4)x

Answer 1

D) x

Explanation:

When simplified, the answer will result to a=b which means that it has no solution

Answer 2

4) x

Explanation:

The expression on the left side simplifies to:

-4(x - 2) + 5x =

= -4x + 8 + 5x

= x + 8

To have an equation with no solution, you need the same x term on the right side but a different constant term. The x term on the left side is x. You need x on the right side but with a constant term different than 8.

Answer: 4) x