What is the solution for the system of equations x+y=2 and x-y=4

X+y=2 (label equation one)

x-y=4 (label equation two)

y=-x+2 (equation one rearranged, label this equation equation three)

sub 3 into 2

x - (-x+2) = 4

x+x-2=4

2x-2=4

2x=6

x=3

sub x=3 into equation one

3+y=2

y=-1

therefore x=3 and y=-1