Question

Question 11(Multiple Choice Worth 5 points)

(03.06A LC)
Which statement is true for the equation 2x - 2x - 7 = -7?
It has infinitely many solutions.
It has two solutions.
It has one solution.
It has no solution.

Answer 1

• 2x-2x-7=-7
• 0-7=-7
• -7=-7

It has infinite solution

Answer 2

• A) It has infinitely many solutions

Explanation:

Given equation

• 2x - 2x - 7 = - 7

Variables cancel and the equation simplifies as

• - 7 = - 7
• 0 = 0

Since we got both sides equal, it doesn't change with any value of x.

It means the equation has infinitely many solutions.