Shawnece is solving the equation x/7 - 4 = -6. One of her steps is to multiply both sides of the equation by 7. Why?

Question

the negative sign in -6 must be changed to positive, 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 addition in the original problem

Answer 1

Shawnece is multiplying both sides of the equation by 7 to "undo" the division of \( x \) by 7 in the original problem.

The original equation is:

\[ \frac{x}{7} - 4 = -6 \]

To isolate \( x \), she first needs to eliminate the \( \frac{x}{7} \) term. By multiplying both sides of the equation by 7, she effectively gets rid of the division by 7. So the correct answer is:

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