Shawnece is solving the equation x/7 − 4 = −6

. One of her steps is to multiply both sides of the equation by 7. Why?
Responses

Multiplying both sides by 7 undoes the division of x
by 7 in the original problem.

Multiplying both sides by 7 undoes the addition in the original problem.

Multiplying both sides by 7 undoes the subtraction in the original problem

The negative sign in −6 must be changed to positive.

1 answer

The correct response is:

Multiplying both sides by 7 undoes the division of x by 7 in the original problem.

This step is taken to isolate the variable \( x \) and solve the equation.