Final answer:
To determine if the given ordered pairs are solutions of the linear equation x-3y=9, we substitute the x and y values into the equation and check if both sides are equal.
Step-by-step explanation:
To determine if the given ordered pairs are solutions of the linear equation x-3y=9, we substitute the x and y values into the equation and check if both sides are equal.
a. For the ordered pair (0, -2):
x = 0, y = -2
Substituting these values into the equation, we get:
0 - 3(-2) = 9
6 = 9
Since 6 is not equal to 9, (0, -2) is not a solution.
b. For the ordered pair (9, 0):
x = 9, y = 0
Substituting these values into the equation, we get:
9 - 3(0) = 9
9 = 9
Since both sides of the equation are equal, (9, 0) is a solution.