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Which Diophantine equations cannot be solved

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Reference no: EM132323113

Assignment - Solve these questions and write the solution in LaTeX:

Q1. Which of the following Diophantine equations cannot be solved?

(a) 6x + 51y = 22.

(b) 33x + 14y = 115.

(c) 14x + 35y = 93.

Q2. Determine all solutions in the integers of the following Diophantine equations:

(a) 56x + 72y = 40.

(b) 24x + 138y = 18.

(c) 221x + 35y = 11.

Q3. Determine all solutions in the positive integers of the following Diophantine equations:

(a) 18x + 5y = 48.

(b) 54x + 21y = 906.

(c) 123x + 360y = 99.

(d) 158x - 57y = 7.

Reference no: EM132323113

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