Question

Examine the following equation and classify the type of solution.

5x−6=3x−6+2x
Question 4 options:

no solution


one solution


infinitely many solutions

Answer 1

infinitely many solutions

Explanation:

5x - 6 = 3x - 6 + 2x combine like terms

5x - 6 = (3x + 2x) - 6

5x - 6 = 5x - 6 subtract 5x from both sides

-6 = -6 TRUE

Therefore the equation has infinitely many solutions.