Question

Lulu used these steps to solve the equation 8x−2=2(4x−2)8x-2=2(4x-2). Which choice describes the meaning of her result, -2=-4-2=-4?

A.The solution is -4-4.
B.No values of xx make the equation true.
C.All values of xx make the equation true.
D.The result is not correct because Step 22 has an error.

Answer 1

I would choose B. because first of all negative -2 can't be equal to -4 (but that's just my opinion)

Answer 2

Option B is correct.

No value of x make the equation true

Explanation:

Given the equation:

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

Using distributive property i.e
`a\cdot (b+c) = a\cdot b + a\cdot c`

8x -2 = 8x - 4

Subtract from both sides by 8x we get;

8x - 2 -8x = 8x - 4 -8x

Simplify:

-2 = -4 no solution.

It is impossible for the equation to be true no matter what value we assign to the variable x.

therefore, no value of x make the given equation true.

Also, you can see in the graph shown below.