Question

In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first step is to subtract 6x from both sides. Who is correct? Explain. Sample Response: Both are correct. As long as inverse operations and the properties of equality are used properly, both methods will generate the same solution. They both isolate the variable on one side of the equation. What did you include in your response? Check all that apply. Both boys are correct. Both methods correctly use the properties of equality and inverse operations. Both methods isolate the variable on one side of the equals sign.

Answer 1

Correct option is "Both boys are correct".

Explanation:

The equation is:

6x - 2 = -4x + 2

• Using Spencer's method:

6x - 2 + 4x = -4x + 2 + 4x

10x - 2 = 2

10x = 4

x = 0.40

• Using Jeremiah's method:

6x - 2 - 6x = -4x + 2 - 6x

- 2 = -10x + 2

10x = 4

x = 0.40

Correct option is "Both boys are correct".