Question

How do you solve the system of linear equations `6x + 2y = -2` and `4x + y = 1`?

Answer 1

`x=2`
`y=-7`

Explanation:

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

From (2),
`y=1-4x` --- (3)

Sub (3) into (1)

`6x+2(1-4x)=-2`
`6x+2-8x=-2`
`4=2x`
`x=2` --- (4)

Sub (4) into (3)
`y=1-4(2)`
`y=-7`