Question

How do you solve the system `y=4x` and `x+y=5` using substitution?

Answer 1

x=1, y=4

Explanation:

`y=4x` equation 1
`x+y=5` equation 2

Substitute equation 1 into equation 2:
`x+y=5`
`x+(4x)=5`
`5x=5`
`x=5/5`
`x=1`

Using equation 1:
`y=4x`
`y=4(1)`
`y=4`