1. How do you determine if an ordered pair is a solution to a given equation?

Answer 1

Hi! There are two ways to do this: graphically and algebraically.

1) Graphically

1. On a graph, given a sample pair of coordinates (3, 5), search along the x-axis for any point at which the line reaches 3. When you find such a point, see if the corresponding value on the y-axis (at the exact moment when x is 3) is equal to 5. If there is such a point, then we can say that the sample pair (3, 5) is an ordered pair on the line.

2) Algebraically

1. Given an equation, such as y = x + 9, as well as a pair of coordinates (to figure out whether they are a solution or not) (3, 5), plug in the x-value (which is 3 in this case) into the x-value of the equation. Now, the equation will look like this: y = 3 + 5. If the number that y is equal to matches the y value in the given pair of coordinates, then the ordered pair is a solution. In this case, y would be equal to 8 after plugging in x, and 8 does not match the 5 that is in the y-coordinate position of the ordered pair.

Answer 2

Try the ordered pair in the given equation

Plug in the x value of the pair for x in the equation

Plug in the y value of the pair for y in the equation

If the pair gives the correct answer for the equation, then it is a solution to the equation

Always try the ordered in the given equation