Question

How do solve the following linear system?: `-8x + y = 2 , 3x - 2y = -6`?

Answer 1

`y=3 3/13`
`x=2/13`

Explanation:

`-8x+y=2` --- (1)
`3x-2y=-6` --- (2)

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

Sub (3) into (2)
`3x-2y=-6`
`3x-2(2+8x)=-6`
`3x-4-16x=-6`
`-13x-4=-6`
`-13x=-2`
`x=2/13` --- (4)

Sub (4) into (3)
`y=2+8x`
`y=2+8times2/13`
`y=3 3/13`