Question

Which graph can be used to find the solution(s) to 8 – 4x = 2x – 4?

Answer 1

Answer:b

Explanation:

Answer 2

The answer in the attached figure

Explanation:

Method 1

we have

`8-4x=2x-4`

Rewrite the equation as a compound system of equations

`y=8-4x` -----> equation A

`y=2x-4` -----> equation B

Using a graphing tool

The solution of the system of equations is the intersection point both graphs

see the attached figure

the solution is
`x=2`

Method 2

we have

`8-4x=2x-4`

Group terms that contain the same variable and move the constant to the other side of equation

`4x+2x=8+4`

Combine like terms

`6x=12`

Divide by
`6` both sides

`x=2`