Shawn is solving the equation

x/7−47=−6


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

(1 point)
Responses

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 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.

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 equation starts with \( \frac{x}{7} \), and multiplying both sides by 7 will isolate \( x \).