Solve x-y=2 and x+y=1

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

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.