Question

LaShawn solved the equation below to the determine the solution.3x-8= - x + 4(x-2)How many solutions does LaShawn’s equation have?

a.zerob)onec)twod) Infinitely many

Answer 1

the answwer is D

Explanation:

Answer 2

Hi there!

Let's solve this equation step by step!

`3x - 8 = - x + 4(x - 2)`

First work out the parenthesis on the left side. This can for instance be done using rainbow technique.

`3x - 8 = - x + 4x - 8`

Collect the terms on the left
(add 4x to -x).

`3x - 8 = 3x - 8`

Now we can see that we have two identical expressions. Therefore, it doesn't matter what value of x you plug into the equation, the equation will always be true. Hence, the answer is D. [the equation has] infinitely many [solutions].

~ Hope this helps you!