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How to Solve a Three Variable Linear Diophantine Equation

In this video we examine two methods to solve a Linear Diophantine Equation in three variables. The first method is a general method which works with all of these types of questions, by first converting the equation to one in two variables, which we then solve by the method outlined in our previous video 'Solving Linear Diophantine Equations Using Euclid's Algorithm'    • Solving Linear Diophantine Equations ...   The second method only works in certain cases (when various of the coefficients have common factors), but uses modular maths and is a fun way to solve (assuming you think modular maths is fun, which I do). For more videos on Diophantine Equations see our playlist 'Numbers and Number Theory'    • Numbers and Number Theory   For more videos on Advanced Equation Solving see our playlist 'Advanced Equation Solving'    • Advanced Equation Solving   For more JEE Aspirant videos see our playlist 'JEE Aspirants'    • JEE Aspirant