Answer is (3, 2)
Step by step
We know x + y = 5 ( call this a)
and x - y = 1 (call this b)
We want to change one to have the x variable on the opposite side of the =
So let’s change (b) by adding y to both sides to isolate x.
x - y + y = 1 + y
Combine terms
x =1 + y
Now we can substitute this new equation into (a)
1 + y + y = 5
Subtract 1 from both sides to isolate y
1 + y + y - 1 = 5 - 1
2y = 4
Now solve for y by dividing both sides by 2
y = 2
Now substitute your answer for y=2 into one of the equations
Let’s use (a) again
x + y = 5
x + 2 = 5
Isolate x by subtracting 2 from both sides
x + 2 - 2 = 5 - 2
Combine terms
x = 3
So you have ( 3, 2 )