Question

How do you solve the system `3x - y = 3` and `2x + y = 2`?

Answer 1

`3x - color(blue)(y) = 3`.....equation `(1)`
`2x + color(blue)(y) = 2`....equation `(2)`

Adding equation `(1)` and `(2)` we can eliminate `color(blue)(y`

`3x - cancel(y) = 3`
`2x +cancel(y) = 2`
`5x = 5, color(green) x=1`

Substituting the value of `x` in equation`(1)` to find `y`:
`3x - y = 3`
`3x - 3= y`

`color(green)(y = 3-3.(1) = 0`
the solution for the system of equations is:
`color(green)(x=1 , y=0`