Alicia825
11

identify the solutions of the system of equations, if any x+5y=6 6x-10y=12

$\left \{ {{x+5y=6} \ \ |2\atop {6x-10y=12}} \right. \\\\\\ \left \{ {{2x+10y=12} \atop {6x-10y=12}} \right. \\ ======== \\\\ 8x=24 \ \ \ |:8 \\\\ \boxed{x=3} \\\\ x+5y=6 \\\\ 5y=6-x \\\\ y=\frac{6-x}{5} \\\\ y=\frac{6-3}{5} \\\\ \boxed{y=\frac{3}{5}}$