Question #6 - Which ordered pair is a solution for the equation?
Which ordered pair is a solution for the following equation? Select all that apply. y=3x-7
(1, -4)
(1,4)
(3,2)
(4, - 5)
(0, - 7)
(10,23)
The ordered pairs that are solutions for the equation y=3x-7 are:
(1, -4)
(4, -5)
(0, -7)
To determine whether an ordered pair is a solution for the equation y=3x-7, we need to substitute the x and y values from the ordered pair into the equation and check if it holds true.
Let's evaluate each ordered pair:
1. (1, -4):
Substituting x=1 and y=-4 into the equation:
-4 = 3(1) - 7
-4 = 3 - 7
-4 = -4
The equation is satisfied, so (1, -4) is a solution for the equation.
2. (1, 4):
Substituting x=1 and y=4 into the equation:
4 = 3(1) - 7
4 = 3 - 7
4 = -4
The equation is not satisfied, so (1, 4) is not a solution for the equation.
3. (3, 2):
Substituting x=3 and y=2 into the equation:
2 = 3(3) - 7
2 = 9 - 7
2 = 2
The equation is satisfied, so (3, 2) is a solution for the equation.
4. (4, -5):
Substituting x=4 and y=-5 into the equation:
-5 = 3(4) - 7
-5 = 12 - 7
-5 = 5
The equation is not satisfied, so (4, -5) is not a solution for the equation.
5. (0, -7):
Substituting x=0 and y=-7 into the equation:
-7 = 3(0) - 7
-7 = 0 - 7
-7 = -7
The equation is satisfied, so (0, -7) is a solution for the equation.
6. (10, 23):
Substituting x=10 and y=23 into the equation:
23 = 3(10) - 7
23 = 30 - 7
23 = 23
The equation is satisfied, so (10, 23) is a solution for the equation.
Therefore, the ordered pairs that are solutions for the equation y=3x-7 are: (1, -4), (3, 2), (0, -7), and (10, 23).
To determine which ordered pairs are solutions for the equation y=3x-7, substitute the values of x and y into the equation and check if the equation holds true.
Let's check each ordered pair:
1. (1, -4):
Substituting x=1 and y=-4 into the equation, we get -4 = 3(1) - 7, which simplifies to -4 = -4. Therefore, (1, -4) is a solution.
2. (1, 4):
Substituting x=1 and y=4 into the equation, we get 4 = 3(1) - 7, which simplifies to 4 = -4. Therefore, (1, 4) is NOT a solution.
3. (3, 2):
Substituting x=3 and y=2 into the equation, we get 2 = 3(3) - 7, which simplifies to 2 = 2. Therefore, (3, 2) is a solution.
4. (4, -5):
Substituting x=4 and y=-5 into the equation, we get -5 = 3(4) - 7, which simplifies to -5 = 5. Therefore, (4, -5) is NOT a solution.
5. (0, -7):
Substituting x=0 and y=-7 into the equation, we get -7 = 3(0) - 7, which simplifies to -7 = -7. Therefore, (0, -7) is a solution.
6. (10, 23):
Substituting x=10 and y=23 into the equation, we get 23 = 3(10) - 7, which simplifies to 23 = 23. Therefore, (10, 23) is a solution.
The ordered pairs that are solutions for the equation y=3x-7 are:
(1, -4), (3, 2), (0, -7), and (10, 23).