Question

How do you solve the system of equations `x+ 4y = 5` and `5x + 3y = 8` by addition method?

Answer 1

I got `x=1` and `y=1`

Explanation:

Let us multiply the first quation by `-5`
`color(red)(-5x-20y=-25)`
`5x+3y=8`
we can add them together (in columns) to get:
`0-17y=-17`
so that we get:
`y=-17/-17=1`
that substituted into the first original equation gives:
`x+4*1=5`
`x=5-4=1`