For each equation, choose the statement that describes its solution.
If applicable, give the solution.

(a)

No solution

All real numbers are solutions

(b)

No solution

All real numbers are solutions

First, let’s tackle the equation in part (a). We simplify to find the value of . After distributing, we have . Combining like terms gives us . Moving the terms around leads to , or . Dividing both sides by 12 gives . Since we found a unique solution, it’s not “no solution” or “all real numbers.”

Now onto part (b). For , simplify to get which simplifies to . This results in , meaning the equation holds for all values of . So, here we conclude that all real numbers are solutions!

To summarize:
(a) Solution:
(b) All real numbers are solutions.