Question

How do you solve the system `y=3x+8` and `5x+2y=5` using substitution?

Answer 1

`y=5`
`x=-1`

Explanation:

Given -

`y=3x+8` -------------- (1)
`5x+2y=5` ------------(2)

Substitute `y=3x+8` in equation (2)

`5x+2(3x+8)=5`
`5x+6x+16=5`
`11x=5-16=-11`
`x=(-11)/11=-1`
`x=-1`

Substitute `x=-1` in equation (1)

`y=3(-1) +8=-3+8=5`
`y=5`