Question

1a) Find all the integer solutions of each of the following linear Diophantine equations: (i) 2x...

1a) Find all the integer solutions of each of the following linear Diophantine equations:

(i) 2x + y = 2,

(ii) 3x - 4y = 0,

and

(iii) 15x + 18 y =17.

1b) Find all solutions in positive integers of each of the following linear Diophantine equations:

(i) 2x + y = 2,

(ii) 3x - 4y = 0,

and

(iii) 7x + 15 y = 51.

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