[tex]\displaystyle 1)\left \{ {{4x-7y=-6} \atop {-2x+5y=6}} \right. \\\\5(4x-7y)+7(-2x+5y)=5(-6)+7*6\\6x=12\\x=2\\4*2-7y=-6\\y=2\\(x,y)=(2,2)\\\\2)\left \{ {{-13x+3y=-12} \atop {20x+6y=106}} \right.\\ \\2(-13x+3y)-(20x+6y)=2(-12)-106\\-46x=-130\\\\x=\frac{65}{23}\\ \\-13(\frac{65}{23})+3y=-12\\ \\y=\frac{569}{69}\\ \\(x,y)=(\frac{65}{23},\frac{569}{69})[/tex]