Which ordered pairs are solutions to the equation? y = 2x + 5 A. (5, 15) and (2, 9) B. (5, 10) and (2, 9) C. (15, 5) and (2, 9) D. (5, 15) and (9, 2)
its a
of course, a
which do you think?
i think its d
nope.
Well alright then, I’m confused on the first question about if this equation is true false or open, I think it might be false: Is the equation 3+z=-19
To determine which ordered pairs are solutions to the equation y = 2x + 5, we substitute the x-coordinate into the equation and check if it produces the respective y-coordinate.
Let's begin with option A: (5, 15) and (2, 9).
For ordered pair (5, 15):
Substituting x = 5 into the equation, we get:
y = 2(5) + 5
y = 10 + 5
y = 15
The y-coordinate matches with 15, as given in the ordered pair. So, (5, 15) is a solution.
For ordered pair (2, 9):
Substituting x = 2 into the equation, we get:
y = 2(2) + 5
y = 4 + 5
y = 9
The y-coordinate matches with 9, as given in the ordered pair. So, (2, 9) is also a solution.
Now let's move on to option B: (5, 10) and (2, 9).
For ordered pair (5, 10):
Substituting x = 5 into the equation, we get:
y = 2(5) + 5
y = 10 + 5
y = 15
The y-coordinate does not match with 10, as given in the ordered pair. So, (5, 10) is not a solution.
Since (5, 10) is not a solution, we can eliminate option B.
Next is option C: (15, 5) and (2, 9).
For ordered pair (15, 5):
Substituting x = 15 into the equation, we get:
y = 2(15) + 5
y = 30 + 5
y = 35
The y-coordinate does not match with 5, as given in the ordered pair. So, (15, 5) is not a solution.
For ordered pair (2, 9):
Substituting x = 2 into the equation, we get:
y = 2(2) + 5
y = 4 + 5
y = 9
The y-coordinate matches with 9, as given in the ordered pair. So, (2, 9) is a solution.
Lastly, we consider option D: (5, 15) and (9, 2).
For ordered pair (5, 15):
Substituting x = 5 into the equation, we get:
y = 2(5) + 5
y = 10 + 5
y = 15
The y-coordinate matches with 15, as given in the ordered pair. So, (5, 15) is a solution.
For ordered pair (9, 2):
Substituting x = 9 into the equation, we get:
y = 2(9) + 5
y = 18 + 5
y = 23
The y-coordinate does not match with 2, as given in the ordered pair. So, (9, 2) is not a solution.
In conclusion, the ordered pairs that are solutions to the equation y = 2x + 5 are (5, 15) and (2, 9). Therefore, the correct answer is option A.