Question

How do solve the following linear system?: `4x+y=6 , 3x+2 y=-24`?

Answer 1

I found:
`x=36/5`
`y=-114/5`

Explanation:

I would collect `y` from the first equation and substitute into the second:
`y=6-4x`
into the second:
`3x+2(color(red)(6-4x))=-24`
solve for `x`:
`3x+12-8x=-24`
`5x=36`
`x=36/5`
Substitute this into the first:
`y=6-4(color(blue)(36/5))=-114/5`