Question

2 1x - 2 = what is the value of |2x - 541

Answer 1

First, we use the first expression to find x.

`(1)/(3)x-2=(1)/(3)`

We add 2 units on each side.

`\begin{gathered} (1)/(3)x-2+2=(1)/(3)+2 \\ (1)/(3)x=(1+6)/(3) \\ (1)/(3)x=(7)/(3) \\ x=7 \end{gathered}`

Then, we use this value to find absolute value.

`|2x-5^2|=|2\cdot7-5^2|=|14-25|=|-11|=11`

Hence, the answer is 11.