=Shawnece is solving the equation x7 − 4 = −6

Question

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

The negative sign in −6
−
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.
Multiplying both sides by 7 undoes the addition in the original problem.

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

Answer 1

The correct response is:

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

This is because in the original equation \( \frac{x}{7} - 4 = -6 \), the term \( \frac{x}{7} \) indicates that \( x \) is being divided by 7. To isolate \( x \), multiplying both sides by 7 is a necessary step to effectively eliminate the division.