Question

taylors work solving an equation is shown here. do you agree with her work and her final answer? taylor made a mistake when distributing on the right. she should have gotten 6 - b + 6b instead of 6 - 2b + 6b. taylor made a mistake when combining like terms. 2b + 6b makes 8b, not 4b. taylor made a mistake when solving. she should have subtracted 5b from both sides instead of 4b. i agree with taylors final answer, but she could have been more efficient if she did all of the distribution at the same time.

Explanation:

Step1: Analyze Taylor's work

Starting from $5(b + 2)=2(3 - b)+6b$, expand to get $5b+10 = 6-2b + 6b$.

Step2: Identify the error

The error is in combining like - terms on the right - hand side. $6-2b + 6b$ should be $6 + 4b$, not $6-2b+6b$ as Taylor wrote. Taylor made a mistake when combining like terms. $2b+6b$ makes $8b$ is incorrect logic here, the correct combination of $-2b$ and $6b$ is $4b$.

Answer:

Taylor made a mistake when combining like terms.