[tex] \left \{ {{4x+7y=1\ \ \ |*(-3)} \atop {3x+10y=15\ \ |*4}} \right. \\\\ \left \{ {{-12x-21y=-3} \atop {12x+40y=60}} \right. \\+-----\\Addition\ method\\\\\ -21y+40y=-3+60\\19y=57\ \ |:19\\\\y=3\\4x=1-7y\\x=\frac{1-7y}{4}\\x=\frac{1-7*3}{4}=\frac{-20}{4}=-5\\\\
Solution:\\
x=-5\\y=3
[/tex]