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.

Answer 1

GIven:

`4x-(41)/(6)y^6-z=(1)/(6)y^6-z`

Use additive cancelleation property then:

`4x-(41)/(6)y^6=(1)/(6)y^6`

So simplify :

`\begin{gathered} 4x-(41)/(6)y^6-(1)/(6)y^6=0 \\ 4x-(42)/(6)y^6=0 \\ 4x-(7*6)/(6)y^6=0 \\ 4x-7y^6=0 \end{gathered}`

The quantity is 6.