Question

How do you solve the simultaneous equations `2x + 3y = 6` and `3x - 2y = 22`?

Answer 1

I found:
`x=6`
`y=-2`

Explanation:

You can start by multiplying the first equation by `3` and the second by `-2` to get:
`{6x+9y=18`
`{-6x+4y=-44`
add the two equations (in columns) to get:
`0+13y=-26`
So: `y=-26/13=-2`
Substitute back this value into the first equation:
`2x+3(-2)=6`
`2x-6=6`
`2x=12`
`x=12/2=6`