I Solve Diophantine Eqn: 7x+4y=100 | X & Y Answers

[Ling Min Hao]

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

 

[jedishrfu]

What values can t have?

 

[mathman]

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

Your answer is obviously incorrect. Using your result, 7x+4y=1500-56t. Your answer is correct for -7x+y=100.

His answer is correct.

 

[mfb]

Your answer is correct for -7x+y=100.

I think you mean -7x+4y=100.

 

[mathman]

I think you mean -7x+4y=100.

You are right - my typo.

 

[Ling Min Hao]

Your answer is obviously incorrect. Using your result, 7x+4y=1500-56t. Your answer is correct for -7x+y=100.

His answer is correct.

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

 

[mathman]

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

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.