Question

How do you solve the following linear system: `2x-y=2, -3x+y=-8`?

Answer 1

`y=10`
`x=6`

Explanation:

`2x-y=2` --- (1)
`-3x+y=-8` --- (2)

From (1),
`2x-y=2`
`y=2x-2` --- (3)

Sub (3) into (2)
`-3x+(2x-2)=-8`
`-3x+2x-2=-8`
`-x-2=-8`
`x=6` --- (4)

Sub (4) into (3)
`y=2x-2`
`y=2(6)-2`
`y=10`