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[latex] \left \{ {{ \frac{3x+2y}{4}- \frac{2x-3y}{5}=- \frac{23}{20} } \atop { \frac{4x+3y}{2}+ \frac{x-5y}{3}= \frac{22}{3} }} \right. [/latex]
[latex] \left \{ {{5(3x+2y)-4(2x-3y)=-23} \atop {3(4x+3y)+2(x-5y)=22*2}} \right. [/latex]
[latex] \left \{ {{15x+10y-8x+12y=-23} \atop {12x+9y+2x-10y=44}} \right. [/latex]
[latex] \left \{ {{7x+22y=-23} \atop {14x-y=44}} \right. [/latex]
[latex] \left \{ {-14x-44y=46} \atop {14x-y=44}} \right. [/latex]
[latex] \left \{ {-45y=90} \atop {14x=44+y}} \right. [/latex]
[latex] \left \{ {y=-2} \atop {x= \frac{44+y}{14} }} \right. [/latex]
[latex] \left \{ {y=-2} \atop {x= \frac{44-2}{14} }} \right. [/latex]
[latex] \left \{ {y=-2} \atop {x=3 }} \right. [/latex]
Ответ: [latex](3;-2)[/latex]
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