Question

What is the intersection point for `y = 3x - 4` and `2x - y = 1`?

Answer 1

`y=3x-4`
`2x-y = 1`

The first equation gives us an immediate expression for `y` which we can substitute into the second equation:
`2x-(3x-4) = 1`
`rarr -x + 4 = 1`
`rarr x=3`

Substituting `x=3` back into the first equation:
`y = 3(3)-4`
`rarr y=5`

The given lines intersect (have a common solution at)
`(x,y) = (3,5)`