Question

How do you solve `x+y= -3` and `x+y=3`?

Answer 1

`{(x = O/), (y = O/) :}`

Explanation:

Your system of equations will have no solution.

You can think about this in two ways.

Notice that you have `x+y` on the left side of both equations, but that the right side is different. The first equation has

`x+y = -3`

and the second equation has

`x+y = 3`

If you try to replace `x+y` from the first equation into the second, you will get

`3 != -3`

An alternative approach is to notice that you're dealing with the equations of two lines. When you're solving a system of equations, you're essentially looking for the point in which those lines intersect.

In your case, these lines will never intersect because they are parralel lines.

graph{(y+x-3)(y+x+3)=0 [-10, 10, -5, 5]}