With elimination method you would have to flip the signs ion one equation
So itd be
-2x+y=1
5x-y=5
So then the ys would cancel out then just add like terms
5+x(-2x)= 3x
5+1=6
3x=6
Divide the 3 on both sides
x=2
Then to get y plug in x to one of the original equations
-2(2)+y=1
-4+y=1
Then add four to both sides to cancel it out on the left and y can be left alone
Y=5
And the final answer would just be (2,5)
