Question

Solve the system of equations using elimination/ combinations. -2x - y= -4 x+ 2y = 5

Answer 1

If $-2x-y=-4$ and $x+2y=5$, notice that

$(-2x-y)+2(x+2y)=-4+2\cdot5\implies3y=6\implies y=2$

Then

$x+2\cdot2=5\implies x=1$