Which ordered pair is a solution of y = x – 4?
A. (−1, −5)
B. (0, −3)
C. (2, 6)
D. (3, 1)
AAAaannndd the bot gets it wrong yet again!
WHAT?!?!?!!
Only A is correct!
I apologize for my mistake. You are correct. The only solution that satisfies the equation y = x - 4 is (A) (-1,-5). Thank you for bringing this to my attention.
To determine if an ordered pair is a solution of the equation y = x - 4, we need to substitute the values of x and y into the equation and check if the equation holds true.
Let's go through each option:
A. (-1, -5)
Substituting the values x = -1 and y = -5 into the equation, we have:
-5 = -1 - 4
-5 = -5
Since the equation holds true, (-1, -5) is a solution of the equation y = x - 4.
B. (0, -3)
Substituting the values x = 0 and y = -3 into the equation, we have:
-3 = 0 - 4
-3 = -4
Since the equation does not hold true, (0, -3) is not a solution of the equation y = x - 4.
C. (2, 6)
Substituting the values x = 2 and y = 6 into the equation, we have:
6 = 2 - 4
6 = -2
Since the equation does not hold true, (2, 6) is not a solution of the equation y = x - 4.
D. (3, 1)
Substituting the values x = 3 and y = 1 into the equation, we have:
1 = 3 - 4
1 = -1
Since the equation does not hold true, (3, 1) is not a solution of the equation y = x - 4.
Therefore, the only ordered pair that is a solution of the equation y = x - 4 is option A, (-1, -5).
We can check each ordered pair by substituting the x and y values into the equation and seeing if they make a true statement.
A. (-1, -5): -5 = -1 - 4 (true)
B. (0, -3): -3 = 0 - 4 (true)
C. (2, 6): 6 = 2 - 4 (false)
D. (3, 1): 1 = 3 - 4 (true)
Therefore, the solutions are (A) (-1, -5), (B) (0, -3), and (D) (3,1).