the order pair of -x+5y=6

Answer 1

To find an ordered pair that satisfies an equation, simply plug in EITHER a "x" OR "y" value and solve for the remaining variable. You can use ANY number to plugin for "x" or "y." Since lines are infinite, the number you choose for one variable will provide a second coordinate match.

Using this example of -x+5y=6

Plugin "0" for x. (0, ?). "0" is a number I selected at random.

-0+5y=6.

5y=6

y=6/5 or 1.2

The ordered pair for an "x" value of 0 is (0, 6/5). This means that (0,6/5) is an ordered pair on the line -x+5y=6.

Another way to solve for an ordered pair is to plugin a "y" value instead.

For example, I will pick a "y" value of 1. (?, 1). "1" is a number I selected at random.

-x+5(1)=6.

-x+5=6

-x=1

x=-1

The ordered pair for a "y" value of 1 is (-1,1). This means that (-1,1) is an ordered pair on the line -x+5y=6.

Please let me know if you have any follow-up questions!