We can use elimination to solve this system of linear equations:
x - y = 2
x + y = 1
Add the equations together to cancel out the y variables:
2x = 3
Divide by 2:
x = 3/2
Use x to solve for y:
3/2 - y = 2
Add y to both sides:
3/2 = y + 2
Subtract 2 rom both sides:
y = -1/2
So, your answer is x = 3/2 and y = -1/2.
x - y = 2 // x + y = 1
Find x in the first equation and substitute it into the second equation.
x = 2 + y ⇒ (2 + y) + y = 1
2 + 2y = 1
2y = -1
Substitute y into the first equation.
y = -1/2 ⇒ x - (-1/2) = 2
x = 1 1/2
x = 1 1/2, y = -1/2
