Question
Shawn is solving this equation:
x7−47=−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.
The negative sign in -6 must be changed to positive.
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1 answer
Shawn is solving the equation \( \frac{x}{7} - 4 = -6 \).
In this case, when he multiplies both sides of the equation by 7, he is trying to eliminate the division of \( x \) by 7. Therefore, the correct response is:
Multiplying both sides by 7 undoes the division of x by 7 in the original problem.
