Linear Diophantine Equations with 3 Variables - 3 Different Methods

We want to solve the linear Diophantine equation with 3 variables:

35x+55y+77z=1
for integer solutions in

Three methods are discussed:
1. Split the equation into two linear equation each of which has two variables.
2. Parameterize with canonical form
3. Particular solution and general solutions of homogeneous equations

Check out the videos on the GCD, Euclidean algorithms here

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00:00 Introduction
00:21 Review of Equation with 2 Variables
02:24 Method 1: Split Into 2 Equations
06:00 Method 2: Parameterize with Canonical Form
13:30 Method 3: Particular solution and General solutions