Question

Look at the equation.

3+4(5−x)=19−4x+4

How many solutions does the equation have? Explain your answer.

Answer 1

infinite solutions

Explanation:

3+4(5−x)=19−4x+4

Distribute

3 +20 -4x = 19 -4x +4

Combine like terms

23 -4x = 23 -4x

Add 4x to each side

23-4x+4x = 23-4x+4x

23 =23

This is always true so there are infinite solutions