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

. One of her steps is to multiply both sides of the equation by 7. Why? (1 point)
Responses

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

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

Multiplying both sides by 7 undoes the addition in the original problem.
Multiplying both sides by 7 undoes the addition 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 is because the original equation has \( x \) divided by 7, and multiplying both sides by 7 will eliminate that division, allowing Shawnece to isolate \( x \).