Question

The steps Thomas used to solve an equation are shown.

Given: 10 – 2 (x - 1) = 8
Step 1: 8(x - 1) = 8
Step 2: % -1=1
Step 3: x = 2
Which statement about the steps Thomas used is true?
A. Thomas's steps are all correct.
B. There is an error in Step 1.
C. There is an error in Step 3.
D. There is an error in Step 2.

Answer 1

The steps Thomas used to solve the equation are not all correct. The error is in Step 2.

Step-by-step explanation:

The steps Thomas used to solve the equation are not all correct. The error is in Step 2. Let's go through the correct steps to solve the equation.

Step 1:

10 - 2(x - 1) = 8

Step 2:

Start by distributing the 2:

10 - 2x + 2 = 8

This simplifies to:

12 - 2x = 8

Step 3:

Subtract 12 from both sides:

-2x = -4

Step 4:

Divide both sides by -2:

x = 2

So the correct solution is x = 2, which means there is an error in Step 2 of Thomas's steps.