Question

Part A: Explain in words the mistake Juanita made. Part B: Solve the equation 3x + 6 = 24

Answer 1

she didnt divide the whole problem by 3 it would be x+3=8 then the rest of the work

Answer 2

If she was going to divide by 3 to eliminate the x term's coefficient, she needed to divide all other terms by 3 and she did not. She only divided two of the three terms by 3 and left out the 6.

3x + 6 = 24
divide all terms by 3

3x/3 + 6/3= 24/3

x + 2= 8
subtract both sides by 2

x= 6


CHECK:
3x + 6 = 24
3(6) + 6= 24
18 + 6= 24
24= 24


ANSWER: She did not divide all terms by 3 when eliminating the x term's coefficient. x= 6

Hope this helps! :)