Question

Which statement is true for the equation 2x - 2x - 7 = -7?

a. It has infinitely many solutions
b. It has two solutions
c. It has one solution
d. it has no solution

Answer 1

`2x-2x-7=-7 \\ (2-2)x-7=-7 \\ 0x-7=-7 \\ -7=-7 \\ true`

The equation is satisfied for every x, so it has infinitely many solutions.
The answer is A.

Answer 2

Answer: Option 'a' is correct.

Explanation:

Since we have given that

2x-2x-7=-7

We need to solve it first as follows:

`2x-2x-7=-7\\\\2x-2x=-7+7\\\\0=0`

Since L.H.S. = R.H.S.

So, it satisfies the equation for all x.

So, there will be infinitely many solutions.

Hence, Option 'a' is correct.