Question

Solve Each of the following equations and Classify each as one solution, no solution, or Infinitely many Solution

-5 (x - 1) = 5 -5x

Answer 1

-5(x - 1) = 5 - 5x

Distribute -5 ion left side.

-5x + 5 = 5 - 5x

Subtract 5 from both sides.

-5x = -5x

Add 5x to both sides.

0 = 0

The equation 0 = 0 is true, so this equation has infinitely many solutions.

Answer 2

infinitely many solutions

Explanation:

multiple -5 with x and -1 that's inside the parenthesis

-5 × (x-1) = 5-5x

-5x +5 = 5- 5x

add the like terms

-5x +5x = 5 -5 ➡ 0=0 we say there's infinite solutions because whatever value you write instead of x there will be an equation.