Question

|3 - x| = 13

Can somebody explain how to do this? I think i know how but im not sure.

Answer 1

3-x=13 and 3-x=-13
-x=13-3 and -x=-13-3
-x=10 and -x=-16
x=-10 and x=16

Answer 2

remeber the theorem
\[ |a|=b \Leftrightarrow a=\pm b \]

Answer 3

yeah

Answer 4

the complete theorem says
\[ |a|=b \Leftrightarrow
\begin{cases}
b\geq0\\
\wedge\\
a=\pm b
\end{cases} \]
in your case b=13>0

Answer 5

thanks