Question

How do you find the ordered pair that satisfies y = x + 5 and y = 2x - 7?

Answer 1

`(x,y) = (12,17)`

Explanation:

If `y=x+5` and `y = 2x -7`
then
`color(white)("XXXX")` `x+5 = 2x-7`
(subtracting `(2x+5)` from both sides
`color(white)("XXXX")` `-x = -12`
`color(white)("XXXX")` `rarr x = 12`
(substituting `(x=12)` back into `y=x+5` gives
`color(white)("XXXX")` `y = 17`