-2х+4у=1 3х-3у=2 Решительно методом сложения

[latex] \left \{ {{-2x+4y=1} \atop {3x-3y=2}} \right. [/latex]⇒[latex]\left \{ {{-2x*3+4y*3=1*3} \atop {3x*2-3y*2=2*2}} \right.[/latex]⇒[latex] \left \{ {{-6x+12y=3} \atop {6x-6y=4}} \right. [/latex]⇒[latex] \left \{ {{6y=7} \atop {y= \frac{7}{6} }} \right. [/latex] [latex]6x-6y=4[/latex] [latex]6x-6* \frac{7}{6} =4[/latex] [latex]6x-7=4[/latex] [latex]6x=4+7[/latex] [latex]6x=11[/latex] [latex]x= \frac{11}{6} [/latex] [latex]y= \frac{7}{6}[/latex]     [latex]x= \frac{11}{6}[/latex] Проверка: [latex]\left \{ {{-2* \frac{11}{6} +4* \frac{7}{6} =1} \atop {3* \frac{11}{6}-3* \frac{7}{6}=2}} \right.[/latex]⇒[latex] \left \{ {{- \frac{11}{3}+ \frac{14}{3} =1} \atop { \frac{11}{2}- \frac{7}{2} =2}} \right. [/latex]⇒[latex] \left \{ {{1=1} \atop { \frac{4}{2} =2}} \right. [/latex]