Question

How do you solve `4x + y = 10` and `2x – 3y = 12`?

Answer 1

`x = 3 ; y = -2`

By taking the sum of the first equation and second equation scaled by `-2` you get the resulting equation to solve for `y`.

`4x + y = 10`
`-4x + 6y = -24`

---

`7y=-14`
`y= -2`

By substitution of `y= -2` back into the first equation you can solve for `x`.
`4x -2 = 10`
`4x = 12`
`x=3`

Hope that was helpful.