Question

Describe and correct the error in solving the equation below. (2 pts)

Answer 1

Answer: 3x=13

Step-by-step explanation:

The person is blind. They did what they were supposed to except the fact that they didn't multiply the 8 by the -1.

Answer 2

Answer: The error is in step 3

Step-by-step explanation:

In step 2, they multiplied both sides by 8 to clear out the fractions. In step 3, they forgot to distribute the 8 to each term inside the parenthesis.

This is what the steps should look like

`\frac{3\text{x}}{8}-1=(5)/(8)\\\\\\8\left(\frac{3\text{x}}{8}-1\right)=8\left((5)/(8)\right)\\\\\\3\text{x}-8 = 5\\\\\\3\text{x} = 13\\\\\\\text{x} = (13)/(3)\\\\\\`

In step 4, we added 8 to both sides. Afterward, divide both sides by 3 to fully isolate x.

The improper fraction 13/3 is the same as the mixed number 4 & 1/3.