Question

How do you find the ordered pair which is a solution of the equation `2x − y = 9`?

Answer 1

There is no one ordered pair for the equation There is an infinite number of ordered pairs. Pick a value for x and solve for y

Explanation:

Because the equation is a line any set of numbers on the line will be an ordered pair for the equation. It is important to make sure the set of numbers does line on the line.

One method is to pick a number for x and solve for y

If x = 0 then

`2(0) -y =9` This gives
-y = 9 or y = +9
The ordered pair is (0,9)

if x = 4.5 then

`2 ( 4.5) - y = 9` this gives

`9 -y = 9` which results. in

-y =0 or y = 0
The ordered pair is ( 4.5, 0)