Question

Solve by using elimination.express answer as an ordered pair 2x-5y=-7 5x-3y=11

Answer 1

$2x-5y=-7 \ \ \ \ \ \ |\times (-5) \\ 5x-3y=11 \ \ \ \ \ \ \ |\times 2 \\ \\ -10x+25y=35 \\ \underline{10x-6y=22 \ \ \ \ \ \ } \\ 25y-6y=35+22 \\ 19y=57 \\ y=\frac{57}{19} \\ y=3 \\ \\ 2x-5y=-7 \\ 2x-5 \times 3 =-7 \\ 2x-15=-7 \\ 2x=-7+15 \\ 2x=8 \\ x=\frac{8}{2} \\ x=4 \\ \\ \boxed{(x,y)=(4,3)}$