Which ordered pair is a solution of the equation y = x – 2?
(1 point)
Responses
(3, 1)
(3, 1)
(1, 3)
(1, 3)
(–1, 3)
(–1, 3)
(3, –1)
(3, –1)
The ordered pair (3, 1) is a solution of the equation y = x - 2.
To determine which ordered pair is a solution of the equation y = x - 2, we need to substitute the x and y values of each pair into the equation and check if the equation holds true.
Let's go through each option:
Option 1: (3, 1)
Substituting x = 3 and y = 1 into the equation:
1 = 3 - 2
1 = 1
The equation holds true, so (3, 1) is a solution.
Option 2: (1, 3)
Substituting x = 1 and y = 3 into the equation:
3 = 1 - 2
3 = -1
The equation does not hold true, so (1, 3) is not a solution.
Option 3: (-1, 3)
Substituting x = -1 and y = 3 into the equation:
3 = -1 - 2
3 = -3
The equation does not hold true, so (-1, 3) is not a solution.
Option 4: (3, -1)
Substituting x = 3 and y = -1 into the equation:
-1 = 3 - 2
-1 = 1
The equation does not hold true, so (3, -1) is not a solution.
Therefore, the only solution to the equation y = x - 2 is the ordered pair (3, 1).
To determine which ordered pair is a solution of the equation y = x - 2, you need to substitute the values of x and y into the equation and check if the equation holds true.
For the equation y = x - 2:
Option 1: (3, 1)
Substituting x = 3 and y = 1 into the equation:
1 = 3 - 2
1 = 1
This equation holds true.
Option 2: (1, 3)
Substituting x = 1 and y = 3 into the equation:
3 = 1 - 2
3 = -1
This equation does not hold true.
Option 3: (-1, 3)
Substituting x = -1 and y = 3 into the equation:
3 = -1 - 2
3 = -3
This equation does not hold true.
Option 4: (3, -1)
Substituting x = 3 and y = -1 into the equation:
-1 = 3 - 2
-1 = 1
This equation does not hold true.
From the options given, the ordered pair (3, 1) is the solution of the equation y = x - 2.