\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}