How do you solve 2x+y=4 and - x+y=1 using the linear combination method?

Is this for solving systems of equations? Or is it for finding y = mx + b form.

Linea combination

combine them to elimiante a vairable

elimiante y's

multily 2nd equation by - 1 to get x-y=-1

add that to first one

2x+y=4

1x-y=-1 +

3x+0y=3

3x=3

divide both sides by 3

x=1

sub back

x-y=-1

1-y=-1

minus 1 both sides

-y=-2

times - 1

y=2

(x, y)

(1,2)