Question

How do you solve the following linear system: #2x + y = -4, y = -3x + 2, #?

Answer 1

`x=6`
`y=-16`

Explanation:

Given -

`2x+y=-4` ---------------- (1)
`y=-3x+2` ---------------(2)

Substitute `y=-3x+2` in equation (1)

`2x+(-3x+2)=-4`

`2x-3x=2=-4`

`-x=-4-2=-6`

`x=6`

Substitute `x=6` in equation (2)

`y=-3(6)+2=-18+2=-16`

`y=-16`