Question

“Solve the equation. Determine if it is undefined or not.”

First Question:

4(g+8)=7+4g

Second Question:

-4(-5h-4)=2(10h+8)

Answer 1

Answer: a) No Solution

b) Infinite Solutions (All Real Numbers)

Explanation:

4(g + 8) = 7 + 4g

4g + 32 = 7 + 4g distributed 4 into g + 8

32 = 7 subtracted 4g from both sides

Since the statement is false because 32 ≠ 7, then there is NO SOLUTION

-4(-5h - 4) = 2(10h + 8)

20h + 16 = 20h + 16 distributed

16 = 16 subtracted 20h from both sides

Since the statement is true because 16 = 16, then there are INFINITE SOLUTIONS so x can be all real numbers.