Question

How do solve the following linear system?: `-9x + 6y = -2 , 4x-2y=-2`?

Answer 1

`x=-8/3 and y=-13/3`

Explanation:

`-9x+6y=-2` (Consider this as equation 1)
`4x-2y=-2` (Consider this as equation 2)

`x=(2+6y)/9` (From equation 1)
Substitute this in equation 2
`4((2+6y)/9)-2y=-2`
`8+24y-18y=-18`
`8+6y=-18`
`6y=-26`
`y=-26/6=-13/3`

Substitute this in equation 1
`-9x+6(-26/6)=-2`
`-9x-26=-2`
`x=-24/9=-8/3`