# How to find the ordered pairs when you only have Ax=By=C?

• Dec 7th 2013, 08:54 PM
Uikri
How to find the ordered pairs when you only have Ax=By=C?
So um, my homework wants me to find the ordered pairs of the equation in the picture, but the lesson never went over how to do so. How do I find the ordered pairs of an equation in the form of Ax=By=C?
• Dec 7th 2013, 08:59 PM
ibdutt
Re: How to find the ordered pairs when you only have Ax=By=C?
The equation has two variables x and y. For each value of x or y we will get a corresponding value of the other variable.
x - 2y = -8.
When x = 2, plug in value of x in the equation and we get
-2 - 2y = -8 that on simplification gives - 2y = -6 or y = 3
so the ordered pair is ( -2, 3 )
Similarly for the other ordered pair plug in the value of y to get corresponding value of x.
• Dec 7th 2013, 09:29 PM
Uikri
Re: How to find the ordered pairs when you only have Ax=By=C?
Quote:

Originally Posted by ibdutt
The equation has two variables x and y. For each value of x or y we will get a corresponding value of the other variable.
x - 2y = -8.
When x = 2, plug in value of x in the equation and we get
-2 - 2y = -8 that on simplification gives - 2y = -6 or y = 3
so the ordered pair is ( -2, 3 )
Similarly for the other ordered pair plug in the value of y to get corresponding value of x.

Oh, I get it! Since the equation is written the way it is, we can just use it to solve for each value! I must be getting tired @.@ Many thanks!