Question

How do you solve the system `2x+3y=12` and `4x-3y=6`?

Answer 1

If you look, you can see `3y` and `-3y` are both present in the equations. That's a good clue to add them together (Elimination).

.......`2x cancel(+ 3y) = 12`
`+` `4x cancel(- 3y) = 6`

.......`6x + 0 = 18`

`x = 3`

Then choose one to plug in `x`, and solve for `y`.

`2(3) + 3y = 12`

`6 + 3y = 12`

`3y = 6`
`y = 2`

Thus:
`x = 3`
`y = 2`