Enter Diophantine Equation
Plot 2x+4y=18 on the Cartesian Graph:
Slope intercept form:
Slope intercept form: y = mx + b
y = -0.5x + 4.5
Solve the following over the integers
2x + 4y = 18
Use Euclids Algorithm in Rewritten Form:
Calculate the GCF of (2,4)
Diophantine Table:
| # | Quotient1 | Quotient2 | Remainder1 | Remainder2 | Remainder | Final | Rewritten |
|---|---|---|---|---|---|---|---|
| 1 | 2/4 | 0 | 2 - (4 x 0) | 2 - 0 | 2 | 2 = 0 x 4 + 2 | 2 = 2 - 0 x 4 |
| 2 | 4/2 | 2 | 4 - (2 x 2) | 4 - 4 | 0 | 4 = 2 x 2 + 0 | 0 = 4 - 2 x 2 |
GCF (2, 4) = 2
Rearrange to solve in terms of GCF = 2
2 = 2 - 0 x 4
Substitute our rewrite value for
2 - 0()
Multiply the items inside our parentheses by 0
Final Answers
y = -0.5x + 4.5
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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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diophantine equationsequationa statement declaring two mathematical expressions are equalmultiplyto add equal groups*substitutiona simple way to solve linear equations algebraically and find the solutions of the variables.
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