Which of the following is a solution to the equation y = 3x - 1?
(1 point)
O (4, 1)
O (2, 5)
O (4, 3)
O (0, -3)
The solution to the equation y = 3x - 1 can be found by substituting the given x and y values into the equation and checking if the equation holds true.
Let's substitute the values for option (4, 1):
y = 3x - 1
1 = 3(4) - 1
1 = 12 - 1
1 = 11
The equation does not hold true for option (4, 1).
Let's substitute the values for option (2, 5):
y = 3x - 1
5 = 3(2) - 1
5 = 6 - 1
5 = 5
The equation holds true for option (2, 5).
Let's substitute the values for option (4, 3):
y = 3x - 1
3 = 3(4) - 1
3 = 12 - 1
3 = 11
The equation does not hold true for option (4, 3).
Let's substitute the values for option (0, -3):
y = 3x - 1
-3 = 3(0) - 1
-3 = 0 - 1
-3 = -1
The equation does not hold true for option (0, -3).
Therefore, the only solution to the equation y = 3x - 1 is option (2, 5).
To find the solution to the equation y = 3x - 1, we need to substitute the given x and y values into the equation and check if it holds true.
Let's check each option:
Option (4, 1):
Substituting x = 4 and y = 1 into the equation yields 1 = 3(4) - 1. Simplifying the equation gives 1 = 12 - 1, which is true.
Option (2, 5):
Substituting x = 2 and y = 5 into the equation yields 5 = 3(2) - 1. Simplifying the equation gives 5 = 6 - 1, which is not true.
Option (4, 3):
Substituting x = 4 and y = 3 into the equation yields 3 = 3(4) - 1. Simplifying the equation gives 3 = 12 - 1, which is not true.
Option (0, -3):
Substituting x = 0 and y = -3 into the equation yields -3 = 3(0) - 1. Simplifying the equation gives -3 = -1, which is not true.
Therefore, the only solution to the equation y = 3x - 1 is O (4, 1).
To find which of the given points is a solution to the equation y = 3x - 1, we can substitute the x and y values from each point into the equation and see if the equation holds true.
Let's try substituting the values from the first point (4, 1) into the equation:
For x = 4, y = 3(4) - 1 = 12 - 1 = 11, which is not equal to 1.
Therefore, (4, 1) is not a solution to the equation.
Now, let's try substituting the values from the second point (2, 5) into the equation:
For x = 2, y = 3(2) - 1 = 6 - 1 = 5, which is equal to 5.
Therefore, (2, 5) is a solution to the equation.
Next, let's try substituting the values from the third point (4, 3) into the equation:
For x = 4, y = 3(4) - 1 = 12 - 1 = 11, which is not equal to 3.
Therefore, (4, 3) is not a solution to the equation.
Lastly, let's try substituting the values from the fourth point (0, -3) into the equation:
For x = 0, y = 3(0) - 1 = 0 - 1 = -1, which is not equal to -3.
Therefore, (0, -3) is not a solution to the equation.
After checking all the given points, we find that only (2, 5) is a solution to the equation y = 3x - 1.