Question

How do you solve the following system: #-6x-2y=-14, 4x-y=6 #?

Answer 1

`y=10/7`
`x=13/7`

Explanation:

`-6x-2y=-14` --- (1)
`4x-y=6` --- (2)

From (2),
`4x-y=6`
`y=4x-6` --- (3)

Sub (3) into (1)
`-6x-2y=-14`
`-3x-y=-7`
`-(3x+y)=-7`
`3x+y=7`
`3x+4x-6=7`
`7x-6=7`
`7x=13`
`x=13/7` --- (4)

Sub (4) into (3)
`y=4*13/7-6`
`y=10/7`