Question

Use the guess-and-check method to solve this equation. 2x + 8 = 6x - 12 A. x = 6 B. x = 4 C. x = 3 D. x = 5

Answer 1

Hi!

The guess and check method is where we fill in the values and check to see if it is correct. 

A. x = 6
2 · 6 + 8 = 6 · 6 - 12
Solve
12 + 8 = 36 - 12
20 = 24
Incorrect.

B. x = 4
2 · 4 + 8 = 6 · 4 - 12
Solve
8 + 8 = 24 - 12
16 = 12
Incorrect.

C. x = 3
2 · 3 + 8 = 6 · 3 - 12
Solve.
6 + 8 = 18 - 12
14 = 6
Incorrect.

D. x = 5
2 · 5 + 8 = 6 · 5 - 12
Solve.
10 + 8 = 30 - 12
18 = 18
Correct!

The answer is D. x = 5

Hope this helps! :)
-Peredhel

Answer 2

Okay, hopefully this will help. Ask questions if you have any!