# 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

#### Solution Summary

This solution is comprised of a detailed explanation for finding the general solution ( if solution exist) of

the linear Diophantine equations.

It contains step-by-step explanation for finding 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

Solution contains detailed step-by-step explanation.