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

Answer 1

Answer:

Both are correct,in both methods same answer will come up.

$x = \frac{2}{5}$

Step-by-step explanation:

Spencer claims that the first step is to add 4x to both sides

According to Spencer

$6x - 2 = - 4x + 2 \\ \\ 6x + 4x - 2 = - 4x + 4x + 2 \\ \\ 10x - 2 = 2 \\ \\ 10x = 4 \\ \\ x = \frac{4}{10} \\ \\ x = \frac{2}{5}$

Jeremiah claims that the first step is to subtract 6x from both sides

According to Jeremiah

$6x - 2 = - 4x + 2 \\ \\ 6x - 2 - 6x = - 4x + 2 - 6x \\ \\ - 2 = - 10x + 2 \\ \\ - 10x = - 4 \\ \\ 10x = 4 \\ \\ x = \frac{4}{10} \\ \\ x = \frac{2}{5}$

Hope it helps you.

Answer 2

Answer:

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.

Step-by-step explanation: