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)
(3,2)
(-4,-19)
To determine which ordered pair is a solution for the equation y=3x-7, we need to substitute the given x and y values into the equation and check if the equation holds true.
For each ordered pair, we substitute the x and y values into the equation:
(1,-4): y = 3x - 7
-4 = 3(1) - 7
-4 = 3 - 7
-4 = -4
So the ordered pair (1,-4) is a solution for the equation.
(1,4): y = 3x - 7
4 = 3(1) - 7
4 = 3 - 7
4 = -4
So the ordered pair (1,4) is not a solution for the equation.
(3,2): y = 3x - 7
2 = 3(3) - 7
2 = 9 - 7
2 = 2
So the ordered pair (3,2) is a solution for the equation.
(4,-5): y = 3x - 7
-5 = 3(4) - 7
-5 = 12 - 7
-5 = 5
So the ordered pair (4,-5) is not a solution for the equation.
(0,-7): y = 3x - 7
-7 = 3(0) - 7
-7 = -7 - 7
-7 = -14
So the ordered pair (0,-7) is not a solution for the equation.
(10,23): y = 3x - 7
23 = 3(10) - 7
23 = 30 - 7
23 = 23
So the ordered pair (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), and (10,23).
To find out which ordered pair is a solution for the equation y=3x-7, we can substitute the x and y values of each ordered pair into the equation and check if the equation holds true.
Let's check each ordered pair:
(1, -4):
Substituting x=1 and y=-4 into the equation, we get:
-4 = 3(1) - 7
-4 = 3 - 7
-4 = -4
The equation holds true for this ordered pair.
(1, 4):
Substituting x=1 and y=4 into the equation, we get:
4 = 3(1) - 7
4 = 3 - 7
4 = -4
The equation does not hold true for this ordered pair.
(3, 2):
Substituting x=3 and y=2 into the equation, we get:
2 = 3(3) - 7
2 = 9 - 7
2 = 2
The equation holds true for this ordered pair.
(4, -5):
Substituting x=4 and y=-5 into the equation, we get:
-5 = 3(4) - 7
-5 = 12 - 7
-5 = 5
The equation does not hold true for this ordered pair.
(0, -7):
Substituting x=0 and y=-7 into the equation, we get:
-7 = 3(0) - 7
-7 = 0 - 7
-7 = -7
The equation holds true for this ordered pair.
(10, 23):
Substituting x=10 and y=23 into the equation, we get:
23 = 3(10) - 7
23 = 30 - 7
23 = 23
The equation holds true for this ordered pair.
Therefore, the ordered pairs which are solutions to the equation y=3x-7 are:
(1,-4)
(3,2)
(0,-7)
(10,23)