Question

How do solve the following linear system?: `x-2y=8 , 4x=-11+y`?

Answer 1

I found:
`x=-30/7`
`y=-43/7`

Explanation:

We can isolate `x` from the first equation and substitute into the second to find `y`:
`x=8+2y`
So:
`4(8+2y)=-11+y`
`32+8y=-11+y`
`7y=-43`
`y=-43/7`
We use this value back into the first equation:
`x=8+2(-43/7)=(56-86)/7=-30/7`