[tex]\left \{ {{4x-2y=3} \atop {2x+2y=9}} \right. \\\left \{ {{2*2x-2y=3} \atop {2x=9-2y}} \right. \\2(9-2y)-2y=3\\18-4y-2y=3 /-18\\-6y=-15 /:(-6)\\y=\frac{-15}{-6}=\frac{15}6=2\frac36=2\frac12=\frac52\\2x+2*\frac52=9\\2x+5=9 /-5\\2x=4 /:2\\x=2[/tex]