## Enter Diophantine Equation

Plot 6x-9y=18 on the Cartesian Graph:

Slope intercept form:

Slope intercept form: y = mx + b

y = 0.66666666666667x - 2

Solve the following over the integers

6x - 9y = 18

##### Use Euclids Algorithm in Rewritten Form:

Calculate the GCF of (6,-9)

##### Diophantine Table:

#Quotient1Quotient2Remainder1Remainder2RemainderFinalRewritten
16/-9-16 - (-9 x -1)6 - 9-36 = -1 x -9 + -3-3 = 6 - -1 x -9
2-9/-33-9 - (-3 x 3)-9 - -90-9 = 3 x -3 + 00 = -9 - 3 x -3

GCF (6, -9) = -3

-3 = 6 - -1 x -9

##### Substitute our rewrite value for

6 - -1()

Multiply the items inside our parentheses by -1

y = 0.66666666666667x - 2

##### How does the Diophantine Equations Calculator work?
Free Diophantine Equations Calculator - Solves for ax + by = c using integer solutions if they exist
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### What 1 formula is used for the Diophantine Equations Calculator?

ax + y = c

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### What 4 concepts are covered in the Diophantine Equations Calculator?

diophantine equations
equation
a statement declaring two mathematical expressions are equal
multiply