Question

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

Answer 1

First, we use the first expression to find x.

$\frac{1}{3}x-2=\frac{1}{3}$

We add 2 units on each side.

$\begin{gathered} \frac{1}{3}x-2+2=\frac{1}{3}+2 \\ \frac{1}{3}x=\frac{1+6}{3} \\ \frac{1}{3}x=\frac{7}{3} \\ x=7 \end{gathered}$

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.