Can someone please check if I answered these 3 questions correctly?
Find three solutions:
1.x - y= 7 (10,3) (14,7) (8,1)
2.2x + y= 10 (2,6) (4,2) (5,0)
3.y=3x (2,6) (9,3) (15,5)
Thanks!
-MC
On 3. you have a couple of your answers written backwards. Remember that the first number is x and the second one y.
(x,y)
Sure, I can help you check if you answered these questions correctly.
1. To check if the given points (10,3), (14,7), and (8,1) are solutions to the equation x - y = 7, substitute the values of x and y from each point into the equation and see if it holds true.
For the first point (10,3):
10 - 3 = 7
7 = 7 (True)
For the second point (14,7):
14 - 7 = 7
7 = 7 (True)
For the third point (8,1):
8 - 1 = 7
7 = 7 (True)
Since all three points satisfy the equation, your answer is correct.
2. Similarly, to check if the given points (2,6), (4,2), and (5,0) are solutions to the equation 2x + y = 10, substitute the values of x and y from each point into the equation and see if it holds true.
For the first point (2,6):
2(2) + 6 = 10
4 + 6 = 10
10 = 10 (True)
For the second point (4,2):
2(4) + 2 = 10
8 + 2 = 10
10 = 10 (True)
For the third point (5,0):
2(5) + 0 = 10
10 + 0 = 10
10 = 10 (True)
Since all three points satisfy the equation, your answer is correct.
3. Similarly, to check if the given points (2,6), (9,3), and (15,5) are solutions to the equation y = 3x, substitute the values of x and y from each point into the equation and see if it holds true.
For the first point (2,6):
6 = 3(2)
6 = 6 (True)
For the second point (9,3):
3 = 3(9)
3 = 27 (False)
For the third point (15,5):
5 = 3(15)
5 = 45 (False)
Since two out of the three points do not satisfy the equation, your answer is incorrect for the third question.
To summarize:
1. Your answer is correct.
2. Your answer is correct.
3. Your answer is incorrect.