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

The negative sign in −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 addition in the original problem.

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

3 answers

Multiplying both sides of the equation by 7 undoes the subtraction in the original problem.
explain
When Shawnece multiplies both sides of the equation x7 − 4 = −6 by 7, she is applying the concept of the inverse operation. The inverse operation of subtraction is addition. By multiplying both sides by 7, she is essentially undoing the subtraction of 4 from the left side of the equation. This allows her to isolate the variable x on one side of the equation, which is the goal of solving for x.