Which ordered pairs is a solution of the following equation select all that apply.
y=9x-2
To find the solution of the equation, we need to substitute the given values of x and y into the equation and check if it satisfies the equation y = 9x - 2.
Let's check each option:
1) (-1, -11)
Substituting in the equation:
-11 = 9(-1) - 2
-11 = -9 - 2
-11 = -11
This is true, so (-1, -11) is a solution.
2) (0, -2)
Substituting in the equation:
-2 = 9(0) - 2
-2 = 0 - 2
-2 = -2
This is true, so (0, -2) is a solution.
3) (2, 16)
Substituting in the equation:
16 = 9(2) - 2
16 = 18 - 2
16 = 16
This is true, so (2, 16) is a solution.
4) (5, 47)
Substituting in the equation:
47 = 9(5) - 2
47 = 45 - 2
47 = 43
This is false, so (5, 47) is not a solution.
Therefore, the ordered pairs that are solutions of the equation y = 9x - 2 are (-1, -11), (0, -2), and (2, 16).
To find which ordered pairs are solutions of the equation y = 9x - 2, plug in different values for x and solve for y. Here are a few examples:
1) Let's start with x = 0
y = 9(0) - 2 = -2
So, the ordered pair (0, -2) is a solution.
2) Let's try x = 1
y = 9(1) - 2 = 7
So, the ordered pair (1, 7) is a solution.
3) Let's try x = -1
y = 9(-1) - 2 = -11
So, the ordered pair (-1, -11) is a solution.
From these calculations, the following ordered pairs are solutions of the equation:
(0, -2), (1, 7), and (-1, -11).
To find the ordered pairs that are solutions of the equation y = 9x - 2, we need to substitute different values of x into the equation and calculate the corresponding values of y.
Let's try a few values of x and see if the equation holds true:
1. For x = 0:
y = 9(0) - 2
y = -2
Ordered pair: (0, -2)
2. For x = 1:
y = 9(1) - 2
y = 9 - 2
y = 7
Ordered pair: (1, 7)
3. For x = -1:
y = 9(-1) - 2
y = -9 - 2
y = -11
Ordered pair: (-1, -11)
These three ordered pairs are solutions to the equation y = 9x - 2.