Question

How many solutions does the equation have 4(z−5)+2=4z−18

Answer 1

Explanation:

first claw

4z -18 = 4z -18

since both sides are equal, there are infinitely many solutions.

Answer 2

infinite solutions

Explanation:

4(z−5)+2=4z−18

Distribute

4z -20+2 = 4z-18

Combine like terms

4z-18 = 4z-18

Subtract 4z on each side

4z-18-4z = 4z-4z-18

-18 = -18

Since this is a true statement and is always true, there are infinite solutions