Giải thích các bước giải:
\(\begin{array}{l}
a)\,{x_1}{y_1} = {x_2}{y_2}\\
\Rightarrow {y_2} = \dfrac{{{x_1}{y_1}}}{{{x_2}}} = \dfrac{{ - 45}}{9} = - 5\\
b)\,{x_1}{y_1} = {x_2}{y_2}\\
\Rightarrow \dfrac{{{x_1}}}{{{y_2}}} = \dfrac{{{x_2}}}{{{y_1}}} = \dfrac{{{x_1} + {x_2}}}{{{y_1} + {y_2}}} = \dfrac{6}{{ - 12}} = \dfrac{1}{2}\\
\Rightarrow {y_1} = 2{x_2} = 8\\
{y_2} = 2{x_1} = 4\\
c)\,{x_1}{y_1} = {x_2}{y_2}\\
\Rightarrow \dfrac{{{x_1}}}{{{x_2}}} = \dfrac{{{y_2}}}{{{y_1}}} = \dfrac{{{x_1} + 2{y_2}}}{{{x_2} + 2{y_1}}} = \dfrac{{18}}{{3 + 12}} = \dfrac{6}{5}\\
\Rightarrow {x_1} = \dfrac{{6{x_2}}}{5} = \dfrac{{18}}{5}\\
{y_2} = \dfrac{{6{y_1}}}{5} = \dfrac{{72}}{5}
\end{array}\)