Question

\begin{equation}
\frac{3}{x-2}
\end{equation}=\begin{equation}
\frac{5}{1-x}
\end{equation}

Answer 1

\[\Huge x = \dfrac{13}{8} \space \space \space :)\]

Answer 2

\(\Huge\color{red}\ast\)\(\huge\color{purple}\ast\)\(\Large\color{blue}\ast\)\(\large\color{green}\ast\)\(\color{yellow}\ast\)\(\small\color{grey}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\tiny\color{turquoise}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\small\color{grey}\ast\)\(\color{yellow}\ast\)\(\large\color{green}\ast\)\(\Large\color{blue}\ast\)\(\huge\color{purple}\ast\)\(\Huge\color{red}\ast\)\(\huge\color{purple}\ast\)\(\Large\color{blue}\ast\)\(\large\color{green}\ast\)\(\color{yellow}\ast\)\(\small\color{grey}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\tiny\color{turquoise}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\small\color{grey}\ast\)\(\color{yellow}\ast\)\(\large\color{green}\ast\)\(\Large\color{blue}\ast\)\(\huge\color{purple}\ast\)\(\Huge\color{red}\ast\)\(\huge\color{purple}\ast\)\(\Large\color{blue}\ast\)\(\large\color{green}\ast\)\(\color{yellow}\ast\)\(\small\color{grey}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\tiny\color{turquoise}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\small\color{grey}\ast\)\(\color{yellow}\ast\)\(\large\color{green}\ast\)\(\Large\color{blue}\ast\)\(\huge\color{purple}\ast\)\(\Huge\color{red}\ast\)

Answer 3

\(\Huge\color{red}\ast\)\(\huge\color{purple}\ast\)\(\Large\color{blue}\ast\)\(\large\color{green}\ast\)\(\color{yellow}\ast\)\(\small\color{grey}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\tiny\color{turquoise}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\small\color{grey}\ast\)\(\color{yellow}\ast\)\(\large\color{green}\ast\)\(\Large\color{blue}\ast\)\(\huge\color{purple}\ast\)\(\Huge\color{red}\ast\)\(\huge\color{purple}\ast\)\(\Large\color{blue}\ast\)\(\large\color{green}\ast\)\(\color{yellow}\ast\)\(\small\color{grey}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\tiny\color{turquoise}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\small\color{grey}\ast\)\(\color{yellow}\ast\)\(\large\color{green}\ast\)\(\Large\color{blue}\ast\)\(\huge\color{purple}\ast\)\(\Huge\color{red}\ast\)\(\huge\color{purple}\ast\)\(\Large\color{blue}\ast\)\(\large\color{green}\ast\)\(\color{yellow}\ast\)\(\small\color{grey}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\tiny\color{turquoise}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\small\color{grey}\ast\)\(\color{yellow}\ast\)\(\large\color{green}\ast\)\(\Large\color{blue}\ast\)\(\huge\color{purple}\ast\)\(\Huge\color{red}\ast\)

Answer 4

\(\Huge\color{red}\ast\)\(\huge\color{purple}\ast\)\(\Large\color{blue}\ast\)\(\large\color{green}\ast\)\(\color{yellow}\ast\)\(\small\color{grey}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\tiny\color{turquoise}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\small\color{grey}\ast\)\(\color{yellow}\ast\)\(\large\color{green}\ast\)\(\Large\color{blue}\ast\)\(\huge\color{purple}\ast\)\(\Huge\color{red}\ast\)\(\huge\color{purple}\ast\)\(\Large\color{blue}\ast\)\(\large\color{green}\ast\)\(\color{yellow}\ast\)\(\small\color{grey}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\tiny\color{turquoise}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\small\color{grey}\ast\)\(\color{yellow}\ast\)\(\large\color{green}\ast\)\(\Large\color{blue}\ast\)\(\huge\color{purple}\ast\)\(\Huge\color{red}\ast\)\(\huge\color{purple}\ast\)\(\Large\color{blue}\ast\)\(\large\color{green}\ast\)\(\color{yellow}\ast\)\(\small\color{grey}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\tiny\color{turquoise}\ast\)\(\Tiny\color{goldenrod}\ast\)\(\small\color{grey}\ast\)\(\color{yellow}\ast\)\(\large\color{green}\ast\)\(\Large\color{blue}\ast\)\(\huge\color{purple}\ast\)\(\Huge\color{red}\ast\)