Question

How do you solve `x-5y=-2` and `-7x-4y=14` using substitution?

Answer 1

`x=-2`
`y=0`

Explanation:

`x-5y=-2` --- (1)
`-7x-4y=14` --- (2)

From (1),

`x-5y=-2`
`x=5y-2` --- (3)

Sub (3) into (2)

`-7(5y-2)-4y=14`
`-35y+14-4y=14`
`-39y=0`
`y=0` --- (4)

Sub (4) into (3)
`x=5y-2`
`x=0-2`
`x=-2`