Question

Show the "check" for each of the problems below. Write whether the solution. is correct or incorrect.

a. For 3x+2=x-2, does x=0?
b. For 3(x-2)=30+x-2-x+2, does x=12?

Answer 1

• x = 0 is incorrect
• x = 12 is correct

Explanation:

You want to check the offered answers in the given equations:

• 3x+2=x-2 for x=0
• 3(x-2)=30+x-2-x+2 for x=12

Check

To check an answer, put the value of the variable where the variable is in the original equation, and simplify. If a true statement results, the answer is correct.

3x+2=x-2

For x = 0, we have ...

3·0 =2 = 0 -2

2 = -2 . . . . . . false; x = 0 is incorrect

3(x-2)=30+x-2-x+2

For x = 12, we have ...

3(12 -2) = 30 +12 -2 -12 +2

3(10) = 30 . . . . . . . true; x = 12 is correct