Question

How do you write the ordered pair for the equations y=-x+6 and y=3/4x-1?

Answer 1

The ordered pair is `(4,2)`.

Explanation:

The ordered pair for where the lines intersect can be determined by setting the equations equal to each other.
`y=-x+6`
`y=3/4x-1`

`-x+6=3/4x-1`
`-7/4x+6=-1`
`-7/4x=-7`
`x=(-7)*(-4/7)`
`x=4`

`y=-(4)+6`
`y=2`

The ordered pair is `(4,2)`.