Question

How do you solve the system of equations `Y= -3X +5` and `Y= X + 5`?

Answer 1

`X=0`
`Y=5`

Explanation:

`Y=−3X+5` -------------------(1)
`Y=X+5` ------------------(2)

Substitute `Y=X+5` in equation (2)

`X+5=−3X+5`

Solve it for X
`X +3X=5-5`
`4X=0`
`X=0/4=0`

Substitute `X=0` in equation (1)
`Y=0+5`
`Y=5`