Question

Use the substitution method to solve 3x-5y=-8 and x+2y=1

Answer 1

$\boxed{ \left \{ {{3x-5y=-8} \atop {x+2y=1}} \right.} \\ \\ x+2y=1\Rightarrow \boxed{x=1-2y} \\------------- \\ \boxed{\left \{ {{3x-5y=-8} \atop {x=1-2y}} \right. } \\\\3(1-2y)-5y=-8 \\ 3-6y-5y=-8\\\\3-11y=-8\\\\-11y=-8-3 \\ \\ -11y=-11y \\ \\ \boxed{y=1} \Rightarrow \boxed{x=-1}$