Question

How do you solve `y=3x+1` and `y=5x-3`?

Answer 1

`(2, 7)`
`x=2`
`y=7`

Explanation:

Set the equations equal to one another (they both equal y):

`3x+1=5x-3`

`3x+4=5x`

`4=2x`

`x=2`

Now plug 2 in for x and solve for y:

`y=3*2+1`

`y=6+1`

`y=7`

`y=5*2-3`

`y=10-3`

`y=7`