Question
Liam is solving the equation 7X plus 6X +3 equals 83 his steps are shown below what mistake did Liam make while solving
Answers
GPT 3.5
To identify the mistake Liam made while solving the equation, let's review the given steps:
7X + 6X + 3 = 83
Liam combined the coefficients of the X terms, which is correct:
13X + 3 = 83
However, Liam's mistake occurred in the next step, specifically regarding the constant terms:
13X + 3 ≠ 83
Instead of adding the numbers inside and outside of the equation, Liam should have subtracted 3 from both sides to isolate the variable term:
13X = 83 - 3
13X = 80
Therefore, the mistake Liam made was not subtracting 3 from both sides when transitioning to the next step after combining the coefficients of the X terms.
7X + 6X + 3 = 83
Liam combined the coefficients of the X terms, which is correct:
13X + 3 = 83
However, Liam's mistake occurred in the next step, specifically regarding the constant terms:
13X + 3 ≠ 83
Instead of adding the numbers inside and outside of the equation, Liam should have subtracted 3 from both sides to isolate the variable term:
13X = 83 - 3
13X = 80
Therefore, the mistake Liam made was not subtracting 3 from both sides when transitioning to the next step after combining the coefficients of the X terms.