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)

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 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.

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 addition in the original problem.

1 answer

Shawnece is solving the equation \( x/7 - 4 = -6 \) (assuming you meant \( x/7 \) instead of \( x7 \)). Based on the given equation, the most accurate reasoning for multiplying both sides by 7 is:

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

This is because the original equation likely involves a division of \( x \) by 7, and multiplying both sides by 7 will help eliminate that division, allowing her to isolate \( x \).