Question

3x-lx+15l=5/4

Answer 1

\(3x-\left|x+15\right|=\dfrac{5}{4}\)

\(\Rightarrow3x-\dfrac{5}{4}=\left|x+15\right|\)

\(\Rightarrow\left[{}\begin{matrix}\dfrac{5}{4}-3x=x+15\\3x-\dfrac{5}{4}=x+15\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}\dfrac{5}{4}-15=3x+x\\3x-x=15+\dfrac{5}{4}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{55}{16}\\x=\dfrac{65}{8}\end{matrix}\right.\)