[tex] \left \{ {{3x+2y=7\ \ | *2} \atop {x-4y=-21}} \right. \\\\ \left \{ {{6x+4y=14} \atop {x-4y=-21}} \right.\\\\+----\\Addition\\\\
7x=14-21\\
7x= -7\ \ \ | divide\ by\ 7\\\\
x=-1\\
2y=7-3x\\
y=\frac{7-3x}{2}=\frac{7+3}{2}=5\\\\Solution\ \\ \left \{ {{y=5} \atop {x=-1}} \right. [/tex]