Tell whether each ordered pair is a solution of y=x +12.
(−12,24)
(12, 24)
(0,−12)
(−12,0)
(7, 19)
(24, 12)
(6, 15)
(9, 21)
I don't know how to do these, please just explain how to do these? thx
answer pls
To determine whether an ordered pair is a solution of the equation y = x + 12, we substitute the values of x and y into the equation and check if they are equal.
Let's go through each ordered pair one by one:
1. (-12, 24):
Substituting x = -12 and y = 24 into the equation:
y = x + 12
24 = -12 + 12
24 = 0
The equation does not hold true, so (-12, 24) is not a solution of y = x + 12.
2. (12, 24):
Substituting x = 12 and y = 24 into the equation:
y = x + 12
24 = 12 + 12
24 = 24
The equation holds true, so (12, 24) is a solution of y = x + 12.
3. (0, -12):
Substituting x = 0 and y = -12 into the equation:
y = x + 12
-12 = 0 + 12
-12 = 12
The equation does not hold true, so (0, -12) is not a solution of y = x + 12.
4. (-12, 0):
Substituting x = -12 and y = 0 into the equation:
y = x + 12
0 = -12 + 12
0 = 0
The equation holds true, so (-12, 0) is a solution of y = x + 12.
5. (7, 19):
Substituting x = 7 and y = 19 into the equation:
y = x + 12
19 = 7 + 12
19 = 19
The equation holds true, so (7, 19) is a solution of y = x + 12.
6. (24, 12):
Substituting x = 24 and y = 12 into the equation:
y = x + 12
12 = 24 + 12
12 = 36
The equation does not hold true, so (24, 12) is not a solution of y = x + 12.
7. (6, 15):
Substituting x = 6 and y = 15 into the equation:
y = x + 12
15 = 6 + 12
15 = 18
The equation does not hold true, so (6, 15) is not a solution of y = x + 12.
8. (9, 21):
Substituting x = 9 and y = 21 into the equation:
y = x + 12
21 = 9 + 12
21 = 21
The equation holds true, so (9, 21) is a solution of y = x + 12.
To summarize:
(12, 24), (-12, 0), (7, 19), and (9, 21) are solutions of y = x + 12. The other ordered pairs are not solutions.
To determine whether each ordered pair is a solution of the equation y = x + 12, follow these steps:
1. Start with an ordered pair in the format (x, y).
2. Substitute the x-value from the ordered pair into the equation for x.
3. Simplify the equation by solving for y.
4. Compare the calculated y-value with the given y-value in the ordered pair.
Now, let's go through each ordered pair one by one using this process.
1. (-12, 24)
- Substitute x = -12 into the equation: y = -12 + 12 = 0
- The calculated y-value is 0. Since it matches the given y-value of 24, this ordered pair is NOT a solution.
2. (12, 24)
- Substitute x = 12 into the equation: y = 12 + 12 = 24
- The calculated y-value is 24, which matches the given y-value. Therefore, this ordered pair is a solution.
3. (0,-12)
- Substitute x = 0 into the equation: y = 0 + 12 = 12
- The calculated y-value is 12, but the given y-value is -12. Thus, this ordered pair is NOT a solution.
4. (-12, 0)
- Substitute x = -12 into the equation: y = -12 + 12 = 0
- Both the calculated y-value (0) and the given y-value (0) match. Hence, this ordered pair is a solution.
5. (7, 19)
- Substitute x = 7 into the equation: y = 7 + 12 = 19
- The calculated y-value (19) matches the given y-value. Therefore, this ordered pair is a solution.
6. (24, 12)
- Substitute x = 24 into the equation: y = 24 + 12 = 36
- The calculated y-value is 36, but the given y-value is 12. Hence, this ordered pair is NOT a solution.
7. (6, 15)
- Substitute x = 6 into the equation: y = 6 + 12 = 18
- The calculated y-value (18) does not match the given y-value of 15. So, this ordered pair is NOT a solution.
8. (9, 21)
- Substitute x = 9 into the equation: y = 9 + 12 = 21
- The calculated y-value (21) matches the given y-value. This means that this ordered pair is a solution.
In summary:
Solutions: (12, 24), (-12, 0), (7, 19), (9, 21)
Not solutions: (-12, 24), (0, -12), (24, 12), (6, 15)
Look how I just answered the same kind of question
https://www.jiskha.com/questions/1816545/1-what-ordered-in-the-form-x-y-is-solution-of-this-3x-4y-21-equation-choice-are-3-2