Question

How many solutions does the equation have?

Answer 1

All real numbers are solutions.

Explanation:

4(z−5)+2=4z−18

Step 1: Simplify both sides of the equation.

4(z−5)+2=4z−18

(4)(z)+(4)(−5)+2=4z+−18(Distribute)

4z+−20+2=4z+−18

(4z)+(−20+2)=4z−18(Combine Like Terms)

4z+−18=4z−18

4z−18=4z−18

Step 2: Subtract 4z from both sides.

4z−18−4z=4z−18−4z

−18=−18

Step 3: Add 18 to both sides.

−18+18=−18+18

0=0

Answer 2

Infinitely many

Explanation:

They both equal the same equation