[tex] \frac{2x-5y}{3y-4x} = \frac{2}{3} \\ \left \{ {{2x-5y=3} \atop {3y-4x=2}} \right. \ \textless \ =\ \textgreater \ \left \{ {{2x-5y=3} |*2\atop {-4x+3y=2}} \right. \ \textless \ =\ \textgreater \ \left \{ {{4x-10y=6} \atop {-4x+3y=2}} \right |+ \ \textless \ =\ \textgreater \ \left \{ {{-7y=8} \atop {-4x+3y=2}} \right. \\ \ \textless \ =\ \textgreater \ \left \{ {{y=- \frac{8}{7} } \atop {-4x- \frac{24}{7}}=2} \right.\ \textless \ =\ \textgreater \ \left \{ {{y=- \frac{8}{7} } \atop {-4x=2+\frac{24}{7}}} \right. \ \textless \ =\ \textgreater \ \left \{ {{y=- \frac{8}{7}} \atop {-4x= \frac{38}{7} }} \right. \ \textless \ =\ \textgreater \ \left \{ {{y=- \frac{8}{7} } \atop {x=- \frac{38}{28} }} \right. \ \textless \ =\ \textgreater \ \left \{ {{y=- \frac{8}{7}} \atop {x=- \frac{19}{14} }} \right. [/tex]
