Question

Rewrite a new equivalent equation that is easier to solve !

Answer 1

Given the expression below

`4|8x-2|=8`

Applying the absolute rule, which is

`if\text{ \mid u\mid=a, a}>0,\text{ then u}=-a\text{ or u}=a`

Applying the rule above, the expression becomes

`\begin{gathered} 4|8x-2|=8 \\ Divide\text{ both sides by 4} \\ |8x-2|=2 \\ -2=8x-2=2 \end{gathered}`

Hence, a new equivalent equation that is easier to solve is

`-2=8x-2=2`