# Category:Examples of Linear Diophantine Equations

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This category contains examples of **Linear Diophantine Equation**.

A **linear Diophantine equation** is a Diophantine equation in which all the arguments appear to no higher than the first degree.

For example:

- $ax + by + c = 0$

- $a_1 x_1 + a_2 x_2 + \cdots + a_n x_n = b$

## Pages in category "Examples of Linear Diophantine Equations"

The following 15 pages are in this category, out of 15 total.

### L

- Linear Diophantine Equation/Examples
- Linear Diophantine Equation/Examples/10x - 8y = 42
- Linear Diophantine Equation/Examples/121x - 88y = 572
- Linear Diophantine Equation/Examples/15x + 27y = 1
- Linear Diophantine Equation/Examples/15x + 51y = 41
- Linear Diophantine Equation/Examples/15x + 51y = 41/Graph
- Linear Diophantine Equation/Examples/17x + 15y = 143
- Linear Diophantine Equation/Examples/17x + 15y = 143/Historical Note
- Linear Diophantine Equation/Examples/17x + 19y = 23
- Linear Diophantine Equation/Examples/17x + 19y = 23/Graph
- Linear Diophantine Equation/Examples/23x + 29y = 25
- Linear Diophantine Equation/Examples/2x + 3y = 4
- Linear Diophantine Equation/Examples/2x + 3y = 4/Graph
- Linear Diophantine Equation/Examples/35x - 256y = 48
- Linear Diophantine Equation/Examples/5x + 6y = 1