Question

Find an ordered pair , x y that is a solution to the equation. 5x-y=9

Answer 1

(1, -4)

Explanation:

In order to find a solution to a linear equation, we can substitute any value for one variable, simplify the equation, and find the value of the other variable to find a solution that is an ordered pair.

Since any value for either variable will do, we can choose something simple, such as 1. I chose to substitute 1 for x into the equation, as seen below.

`5x-y = 9\\5(1)-y = 9`

Now, all I need to do is solve and isolate y:

`5(1)-y = 9\\5-y = 9\\-y = 4\\y =-4`

So, with this linear equation, when x equals 1, y equals -4. Thus, a solution to the equation is (1, -4).