How to solve X + y = 2

X - y = 4

So y+x=2

x-y=4

one way is subsituteion where yousubisutte one of the number for another exg

x-y=4

add y to both sides

x=y+4

subsitute y+4 for x in x+y=2

y+4+y=2

2y+4=2

subtract 4 from both sides

2y=-2

divide both sides by 2

y=-1

subsiutte

x+y=2

x-1=2

x=3

or elimination

x+y=2

x-y=4

add the two equations and cancel the y terms

x+x+y-y=2+4

2x=6

divide both sides by 2

x==3

subsitute

x+y=2

3+y=2

y=-1

so x=3

y=-1