If one of the cancellation properties is being used to transform the equation, identify the quantity that is added to or multiplied by both sides. 4x+13y8−z=6y8−z⇔4x+7y8=0

Question

If the following statement is false, choose False Statement. Otherwise, identify the property that justifies it. If one of the cancellation properties is being used to transform the equation, identify the quantity that is added to or multiplied by both sides.

4x+13y8−z=6y8−z⇔4x+7y8=04x+13y8−z=6y8−z⇔4x+7y8=0

Answer 1

4x+13y⁸=6y⁸ is the same as 4x+7y⁸=0. That is, the statement (equality) is TRUE. The cancellation quantity z subtracted from each side of the equation is 6y⁸ and makes use of the subtraction property of equality. That is, the equality remains true if the same quantity is subtracted from each side of the equality.