which ordered pairs is a solution of the following equation select all that apply
y=9x-2
2,16
1,7
0,-2
-1,11
-1,11
The ordered pairs (1,7), (0,-2), and (-1,11) are solutions to the equation y = 9x - 2.
steps in order
how to solve 12-3x=8-4(2x-6)
1) Distribute the -4 to the terms inside the parentheses:
12 - 3x = 8 - 8x + 24
2) Combine like terms on both sides of the equation:
-3x + 8x = 8 + 24 - 12
5x = 20
3) Divide both sides of the equation by 5 to solve for x:
x = 20/5
4) Simplify the expression on the right side:
x = 4
Therefore, the solution to the equation 12 - 3x = 8 - 4(2x - 6) is x = 4.
To determine which ordered pairs are solutions of the equation y = 9x - 2, we can substitute the x-values into the equation and check if the resulting y-value matches the given pair.
Let's go through each pair:
1) (2, 16)
Substituting x = 2 into the equation: y = 9(2) - 2
Calculating: y = 18 - 2 = 16
The resulting y-value matches the given pair, so (2, 16) is a solution.
2) (1, 7)
Substituting x = 1 into the equation: y = 9(1) - 2
Calculating: y = 9 - 2 = 7
The resulting y-value matches the given pair, so (1, 7) is a solution.
3) (0, -2)
Substituting x = 0 into the equation: y = 9(0) - 2
Calculating: y = 0 - 2 = -2
The resulting y-value matches the given pair, so (0, -2) is a solution.
4) (-1, 11)
Substituting x = -1 into the equation: y = 9(-1) - 2
Calculating: y = -9 - 2 = -11
The resulting y-value does not match the given pair (-1, 11), so it is not a solution.
So, the ordered pairs that are solutions to the equation y = 9x - 2 are: (2, 16), (1, 7), and (0, -2).
To determine which ordered pairs are solutions of the equation y = 9x - 2, we need to substitute the x-values into the equation and see if they yield the corresponding y-values.
Let's check each ordered pair:
1) For the ordered pair (2, 16):
- Substitute x = 2 into the equation: y = 9(2) - 2
- Simplify: y = 18 - 2 = 16
- The resulting y-value matches the given y-value of 16.
2) For the ordered pair (1, 7):
- Substitute x = 1 into the equation: y = 9(1) - 2
- Simplify: y = 9 - 2 = 7
- The resulting y-value matches the given y-value of 7.
3) For the ordered pair (0, -2):
- Substitute x = 0 into the equation: y = 9(0) - 2
- Simplify: y = 0 - 2 = -2
- The resulting y-value matches the given y-value of -2.
4) For the ordered pair (-1, 11):
- Substitute x = -1 into the equation: y = 9(-1) - 2
- Simplify: y = -9 - 2 = -11
- The resulting y-value does not match the given y-value of 11.
So, out of the provided ordered pairs, the solutions of the equation y = 9x - 2 are:
- (2, 16)
- (1, 7)
- (0, -2)