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The general solution of the linear diophantine equations

Question:

The general solution of the linear Diophantine equations

Find the general solution ( if solution exist) of each of the following linear Diophantine equations:

(a) 2x + 3y = 4 (d) 23x + 29y = 25
(b) 17x + 19y = 23 (e) 10x - 8y = 42
(c) 15x + 51y = 41 (f ) 121x - 88y = 572

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Algebra: The general solution of the linear diophantine equations

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Algebra: The general solution of the linear diophantine equations

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