\begin{array}{l}
\displaystyle
x=\frac{x'+vt'}{\sqrt{1-\frac{v^2}{c^2}}},
\vspace{0.5em}\\
y=y',\qquad z=z',
\vspace{0.5em}\\
\displaystyle
t=\frac{t'+\frac{vx'}{c^2}}{\sqrt{1-\frac{v^2}{c^2}}}.
\end{array}