Question

Genevieve wants to verify that 1/5 * (5x - 20) - 1/2 * (4x - 8) equivalent to -x which procedure can Genevieve to determine if the two expressions are equivalent?

Answer 1

Answer with Step-by-step explanation:

We are given that

LHS

$\frac{1}{5}(5x-20)-\frac{1}{2}(4x-8)$

Using distribution property

$a\cdot (b+c)=a\cdot b+a\cdot c$

$\frac{1}{5}(5x)-\frac{1}{5}(20)-\frac{1}{2}(4x)+\frac{1}{2}(8)$

After multiplication we get

$x-4-2x+4$

Combine like terms

$(x-2x)+(4-4)$

Then, we get

$-x+0=-x$

Hence,verified.

Answer 2

Answer:D

Step-by-step explanation: I took the unit test