Question

How do you solve the following system: `3x + 4y = -2, 3x + 2y = 1`?

Answer 1

I found:
`x=4/3`
`y=-3/2`

Explanation:

We can try multiplying the first equation by `-1` and add (in columns) to the second:
`{((-1)3x+4y=-2),(3x+2y=1):}`
`{(-3x-4y=2),(3x+2y=1):}` add them:
`0-2y=3`
`y=-3/2`
Substitute this value into the first equation:
`3x+4(-3/2)=-2`
`3x-6=-2`
`x=4/3`