Which ordered pairs is a solution of the following equation. Select all that apply. y = 9x - 2 (1 point)
O (0, - 2)
O (2, 16)
O (1, 7)
O (- 1, - 11)
O (- 1, 11)
Since the equation is y = 9x - 2, we can plug in the values of x and see if y matches the equation.
Let's check each ordered pair:
1) (0, -2)
y = 9(0) - 2 = 0 - 2 = -2, which matches the given y value.
So, (0, -2) is a solution.
2) (2, 16)
y = 9(2) - 2 = 18 - 2 = 16, which matches the given y value.
So, (2, 16) is a solution.
3) (1, 7)
y = 9(1) - 2 = 9 - 2 = 7, which matches the given y value.
So, (1, 7) is a solution.
4) (-1, -11)
y = 9(-1) - 2 = -9 -2 = -11, which matches the given y value.
So, (-1, -11) is a solution.
5) (-1, 11)
y = 9(-1) - 2 = -9 -2 = -11, but the given y value is 11, so it doesn't match.
So, (-1, 11) is not a solution.
Therefore, the solutions are:
O (0, -2)
O (2, 16)
O (1, 7)
O (-1, -11)
To find which ordered pairs are solutions of the equation y = 9x - 2, substitute the x-value and check if the resulting y-value satisfies the equation.
Let's check each option:
1. (0, -2):
Substituting x = 0 into the equation, we get y = 9(0) - 2 = -2. This satisfies the equation.
2. (2, 16):
Substituting x = 2 into the equation, we get y = 9(2) - 2 = 18 - 2 = 16. This satisfies the equation.
3. (1, 7):
Substituting x = 1 into the equation, we get y = 9(1) - 2 = 9 - 2 = 7. This satisfies the equation.
4. (-1, -11):
Substituting x = -1 into the equation, we get y = 9(-1) - 2 = -9 - 2 = -11. This satisfies the equation.
5. (-1, 11):
Substituting x = -1 into the equation, we get y = 9(-1) - 2 = -9 - 2 = -11. This does not satisfy the equation.
Therefore, the ordered pairs that are solutions of the equation y = 9x - 2 are:
- (0, -2)
- (2, 16)
- (1, 7)
- (-1, -11)
So, the correct answers are:
- (0, -2)
- (2, 16)
- (1, 7)
- (-1, -11)
To determine which ordered pairs are solutions of the equation y = 9x - 2, you need to substitute the values of x and y from each ordered pair into the equation and check if the equation holds true.
For each ordered pair (x, y), substitute x for x and y for y in the equation y = 9x - 2.
- Let's go through each option one by one:
1. Option O (0, - 2):
Substitute x = 0 and y = -2 into the equation: -2 = 9(0) - 2
Simplify the equation: -2 = 0 - 2
The equation is true. Therefore, (0, -2) is a solution.
2. Option O (2, 16):
Substitute x = 2 and y = 16 into the equation: 16 = 9(2) - 2
Simplify the equation: 16 = 18 - 2
The equation is false. Therefore, (2, 16) is not a solution.
3. Option O (1, 7):
Substitute x = 1 and y = 7 into the equation: 7 = 9(1) - 2
Simplify the equation: 7 = 9 - 2
The equation is true. Therefore, (1, 7) is a solution.
4. Option O (- 1, - 11):
Substitute x = -1 and y = -11 into the equation: -11 = 9(-1) - 2
Simplify the equation: -11 = -9 - 2
The equation is false. Therefore, (-1, -11) is not a solution.
5. Option O (- 1, 11):
Substitute x = -1 and y = 11 into the equation: 11 = 9(-1) - 2
Simplify the equation: 11 = -9 - 2
The equation is false. Therefore, (-1, 11) is not a solution.
So, the ordered pairs that are solutions of the equation y = 9x - 2 are (0, -2) and (1, 7).