Question

How do you solve the system `y=2x-5 and 4x-y=7`?

Answer 1

`x=1`
`y=-3`

Explanation:

Given -

`y=2x-5` -------------------(1)
`4x-y=7` -----------------------(2)

Substitute `y=2x-5` in equation (2)

`4x-(2x-5)=7`
`4x-2x+5=7`
`2x=7-5=2`
`x=2/2=1`
`x=1`

Substitute `x=1` in equation (1)

`y=2(1)-5=2-5=-3`

`y=-3`