Question

How do you solve the system of equations `-2x + 4y = 6` and `2x + y = 14`?

Answer 1

You could add the equations together to cancel the `-2x` and the `2x` :

`-2x+4y=6`
`"+ " 2x+y=14`
`-> -2x+4y+2x+y = 6+14`
`-> 5y=20`
`-> y=4`

Substitute `y=4` into one of the two equations:

`2x+y=14`
`2x+4=14`
`2x=10`
`x=5`