Question

Trina examined the equation below and said that the equation has exactly one solution. -8(x-4)+2x=-4(x-8)-2x Which explains whether Trina is correct? Trina is correct because the two sides of the equation are equivalent. Trina is correct because the two sides of the equation are not equivalent. Trina is not correct because the two sides of the equation are equivalent. Trina is not correct because the two sides of the equation are not equivalent.

Answer 1

i took the test c

Explanation:

Answer 2

The correct answer is C. Trina is not correct because the two sides of the equation are equivalent.

Explanation:

1. Let's solve for x

-8(x - 4) + 2x = -4(x - 8) -2x

-8x + 32 + 2x = -4x + 32 -2x

-6x + 32 = - 6x + 32

0 = 0

This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.

Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.