Which ordered pair is a solution of the equation y = 3x?
A. (–2, –9)
B. (–8, –18)
C. (–8, –3)
D. (–10, –30)
Well, let's find out together while trying to keep it light-hearted!
First, let's check option (A): (–2, –9).
If we substitute x = -2 into the equation y = 3x, we get y = 3(-2) = -6. So (–2, –9) is not a solution of the equation.
Now, let's move on to option (B): (–8, –18).
If we plug in x = -8 into the equation y = 3x, we get y = 3(-8) = -24. So (–8, –18) is not a solution either.
Next, let's give option (C) a shot: (–8, –3).
By substituting x = -8 into the equation, we get y = 3(-8) = -24. Oops! It looks like (–8, –3) isn't a solution either.
Finally, we have option (D): (–10, –30).
When we substitute x = -10 into the equation, we get y = 3(-10) = -30. Bingo! (–10, –30) is indeed a solution of the equation y = 3x.
So the answer is (D) – (–10, –30).
To determine which ordered pair is a solution of the equation y = 3x, we need to substitute the x and y values from each option into the equation and check if it is satisfied.
Let's go through each option:
A. (–2, –9)
Substituting x = -2 and y = -9 into the equation:
-9 = 3(-2)
-9 = -6
The equation is not satisfied, so option A is not a solution.
B. (–8, –18)
Substituting x = -8 and y = -18 into the equation:
-18 = 3(-8)
-18 = -24
The equation is not satisfied, so option B is not a solution.
C. (–8, –3)
Substituting x = -8 and y = -3 into the equation:
-3 = 3(-8)
-3 = -24
The equation is not satisfied, so option C is not a solution.
D. (–10, –30)
Substituting x = -10 and y = -30 into the equation:
-30 = 3(-10)
-30 = -30
The equation is satisfied, so option D is a solution.
Therefore, the ordered pair that is a solution of the equation y = 3x is D. (–10, –30).