Question

What is −5+(−5r)+10 =-5r+5

Answer 1

Infinitely many solutions. Each real number is a solution of this equation.

Explanation:

-5 + (-5r) + 10 = -5r + 5

5 - 5r = -5r + 5 add 5r to both sides

5 = 5 TRUE

Answer 2

Infinite solutions.

Explanation:

−5+(−5r)+10 =-5r+5

Combine like terms

-5r +5 = -5r+5

Add 5r to each side

-5r+5r +5 = -5r+5r+5

5 = 5

This is a true statement, so the equation has infinite solutions.

If we got a false statement, then there would be no solutions.