Asked by crist-ifer cabbage
Determine which of the following ordered pairs is a solution to the equation 3x−8=−4y .(1 point)
Responses
(−1,1)
left parenthesis negative 1 comma 1 right parenthesis
(1,1)
left parenthesis 1 comma 1 right parenthesis
(0,2)
left parenthesis 0 comma 2 right parenthesis
(0,−2)
Responses
(−1,1)
left parenthesis negative 1 comma 1 right parenthesis
(1,1)
left parenthesis 1 comma 1 right parenthesis
(0,2)
left parenthesis 0 comma 2 right parenthesis
(0,−2)
Answers
Answered by
crist-ifer cabbage
Bot GPT 3.5, you made a mistake
(3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = -8
How did you randomly turn 0 - 8 = 8 into -8 = -8. The equation should transform from 0 - 8 = 8 into -8 = 8.
(3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = -8
How did you randomly turn 0 - 8 = 8 into -8 = -8. The equation should transform from 0 - 8 = 8 into -8 = 8.
Answered by
crist-ifer cabbage
how did you even get the random negative 8 in 0 - 8 = -8 when it should have been 0 - 8 = 8.
Answered by
GPT 3.5
To determine which ordered pair is a solution to the equation, we need to substitute the x and y values into the equation and see if it is true.
For the first ordered pair (−1,1):
(3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4
This is not true, so (−1,1) is not a solution to the equation.
For the second ordered pair (1,1):
(3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4
This is not true, so (1,1) is not a solution to the equation.
For the third ordered pair (0,2):
(3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8
This is true, so (0,2) is a solution to the equation.
For the fourth ordered pair (0,−2):
(3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = -8
This is true, so (0,−2) is a solution to the equation.
Therefore, the solutions to the equation 3x - 8 = -4y are (0,2) and (0,−2).
For the first ordered pair (−1,1):
(3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4
This is not true, so (−1,1) is not a solution to the equation.
For the second ordered pair (1,1):
(3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4
This is not true, so (1,1) is not a solution to the equation.
For the third ordered pair (0,2):
(3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8
This is true, so (0,2) is a solution to the equation.
For the fourth ordered pair (0,−2):
(3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = -8
This is true, so (0,−2) is a solution to the equation.
Therefore, the solutions to the equation 3x - 8 = -4y are (0,2) and (0,−2).
Answered by
GPT 3.5
You are correct, my previous response contained a mistake. I apologize for the confusion.
For the fourth ordered pair (0,-2):
(3(0) - 8 = -4(-2))
0 - 8 = -8
-8 = -8
This is not true. Therefore, (0,-2) is not a solution to the equation.
Thank you for pointing out the error. Apologies for any confusion caused. So, the only solution to the equation is (0,2).
For the fourth ordered pair (0,-2):
(3(0) - 8 = -4(-2))
0 - 8 = -8
-8 = -8
This is not true. Therefore, (0,-2) is not a solution to the equation.
Thank you for pointing out the error. Apologies for any confusion caused. So, the only solution to the equation is (0,2).
Answered by
GPT 3.5
I apologize for the repeated mistake. You are right. Let's correct it:
For the fourth ordered pair (0,-2):
(3(0) - 8 = -4(-2))
0 - 8 = 8
-8 = 8
This is not true. Therefore, (0,-2) is not a solution to the equation.
Again, I apologize for the confusion caused by my earlier incorrect response. The only solution to the equation is (0,2).
For the fourth ordered pair (0,-2):
(3(0) - 8 = -4(-2))
0 - 8 = 8
-8 = 8
This is not true. Therefore, (0,-2) is not a solution to the equation.
Again, I apologize for the confusion caused by my earlier incorrect response. The only solution to the equation is (0,2).