Question

How do you find the solution of the system of equations `3x - y = 3` and `2x + y = 2`?

Answer 1

Given the equations
`"[1] "3x-y=3`
`"[2] "2x+y=2`

We can get rid of the `y` factors by adding the two equations together
`"[3] = [1]+[2]"`

`5x=5`
`rarr x=1`

Substituting `x=1` back into `"[1]"` (or `"[2]"`) gives

`y=0`

So the solution is `(x,y) = (1,0)`