Question

Which statement is true for the equation 3x − 3x − 2 = −2?

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answer 1

It would come out to 3x = 3x so it would be infinitely many solutions

Answer 2

D. It has infinitely many solutions.

Explanation:

We have been given an equation
`3x-3x-2=-2`. We are asked to find the number of solutions for our given equation.

We know that an equation has infinitely many solutions, when both sides of the equation are equal.

Let us add 3x on both sides of our given equation.

`3x-3x+3x-2=-2+3x`

`3x-2=3x-2`

Since both sides of our given equation are equal, therefore, our given equation has infinitely many solutions and option D is the correct choice.