The discussion revolves around solving the Diophantine equation 7x + 4y = 100. Participants explore different solutions and methods for finding integer values of x and y, while debating the correctness of various proposed answers.
Participants do not reach a consensus on the correctness of the solutions presented. There are competing views regarding the validity of each proposed answer, with some asserting that both can be correct under certain conditions.
Participants express uncertainty about the application of the Diophantine method and the implications of their solutions. There are unresolved questions about the values that t can take and how they affect the solutions.
Your answer is obviously incorrect. Using your result, 7x+4y=1500-56t. Your answer is correct for -7x+y=100.Ling Min Hao said:The given question required me to solve 7x+4y =100 by using diophantine equation . I get an answer for x = 100 - 4t and y = 200 - 7t . But his given answer is x = 4t and y = 25-7t . I think both of mine and the answer given is correct but I can't figure out how he get another solution
I think you mean -7x+4y=100.mathman said:Your answer is correct for -7x+y=100.
You are right - my typo.mfb said:I think you mean -7x+4y=100.
Both answer is correct since both can be used to find the value of x and y , it's just I don't understand how he get the answer using dio phantine methodmathman said:Your answer is obviously incorrect. Using your result, 7x+4y=1500-56t. Your answer is correct for -7x+y=100.
His answer is correct.
I am not familiar with the Diophantine method. However, by substituting your answer into the original equation, it is obviously wrong. His answer is obviously correct. I can only guess you are misusing the Diophantine method.Ling Min Hao said:Both answer is correct since both can be used to find the value of x and y , it's just I don't understand how he get the answer using dio phantine method