Question 19214: How to determine whether a given ordered pair is a solution of an equation in two variables
Answer by mmm4444bot(95)   (Show Source):
You can put this solution on YOUR website! Hello There:
Substitute the values in the ordered pair for their corresponding variables in the equation. Then do the arithmetic with the equation to see if you end up with a true statement.
For example, let's use the standard variable names for the ordered pair (x, y).
Here is an equation containing x and y:
3*x + 7*y = -4
Here is a given ordered pair:
(2, 1)
We substitute 2 for x and 1 for y in the equation.
3*2 + 7*1 = -4
Now do the arithmetic to simplify.
6 + 7 = -4
13 = -4
We ended up with a false statement, so we can say that the ordered pair of coordinates (2, 1) is not a solution to the equation.
Here's another pair of coordinates:
(1, -1)
Substituting, we get the equation:
3*1 + 7*(-1) = -4
3 - 7 = -4
-4 = -4
This is a true statement, so the ordered pair (1, -1) is a solution.
~ Mark
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