Question

Which of the equations shown have infinitely many solutions?

Select all that apply.
A 3x - 1 = 3x + 1
® 2x - 1 = 1 - 2x
© 3x - 2 =2x-3
D 3(x - 1) = 3x - 3​

Answer 1

D

Explanation:

In order to have infinitely many solutions, the lines must be the same.

If we solve D by using the distributive property, we end up withe 3x-3=3x-3.

3x-3 and 3x-3 are the same lines and intersect infinitely many times, therefore the correct answer is D.

Answer 2

The answer is D because if you distribute, you get: 3x-3=3x-3
And anything you plug in for X has the same solution on both sides of the equation