Simultaneous equations

My formula

\({\color{#cc0000} a_1}x + {\color{#00cc00} b_1}y = {\color{#0000cc} c_1}\)
\({\color{#00cccc} a_2}x + {\color{#cc00cc} b_2}y = {\color{#cccc00} c_2}\)

\(y = \frac{({\color{#0000cc} c_1}{\times}{\color{#00cccc} a_2}) - ({\color{#cccc00} c_2}{\times}{\color{#cc0000} a_1})}{({\color{#00cc00} b_1}{\times}{\color{#00cccc} a_2})-({\color{#cc00cc} b_2}{\times}{\color{#cc0000} a_1})}\)

\(x = \frac{{\color{#0000cc} c_1} - ({\color{#00cc00} b_1}{\times}y)}{{\color{#cc0000} a_1}}\)

Solver

\(x + \)\(y = \)
\(x + \)\(y = \)