Shawnece is solving the equation x7 − 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 subtraction 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.
The negative sign in negative 6 must be changed to positive.

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 addition in the original problem.

1 answer

The correct response is:

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

In the equation \( x7 - 4 = -6 \), Shawnece is likely trying to isolate \( x \). To do this, she would first add 4 to both sides to get \( x7 = -2 \), and then multiplying both sides by 7 would help eliminate the division of \( x \) by 7.