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
A Diophantine equation is an algebraic equation in which the variables are restricted to be integers. It is named after the ancient Greek mathematician Diophantus.
To solve a Diophantine equation, you need to find integer values for the variables that satisfy the equation. This can be done through various techniques such as substitution, elimination, or using modular arithmetic.
The solution to the equation 7x+4y=100 is x=8 and y=5. This means that when x=8 and y=5, the equation is satisfied and both x and y are integers.
Yes, there are infinitely many solutions to this equation. For example, x=12 and y=2 is also a solution. In general, for any integer value of x, there will be a corresponding integer value of y that satisfies the equation.
Diophantine equations are used in various fields of mathematics such as number theory and algebra. They also have applications in cryptography, coding theory, and computer science. In real life, they can be used to solve problems related to finding integer solutions to equations, such as in scheduling or resource allocation.