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miv72 [106K]
3 years ago
12

HELP!!! How do you do a diophantine equation? Plz help as soon as possible.

Mathematics
2 answers:
Annette [7]3 years ago
4 0

Answer and Step-by-step explanation:

A Diophantine equation is simply an equation that relates whole numbers.

There are various types of Diophantine equations, but probably the most basic is the linear version: ax + by = c.

Different methods also abound for solving these types of equations:

- Coordinate geometry

- Modular arithmetic

- Induction

Hope this helps!

Brums [2.3K]3 years ago
4 0

Answer:

A diophantine equation is the one which has only integer solutions.

In some cases, it is easy to obtain the solution through inspection

Let ax + by = c be a diophantine equation

Find GCD of a & b.

c should be a multiple of this gcd

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Nezavi [6.7K]

Answer:

x = 15

Step-by-step explanation:

Simplifying

3x + (8x + 15) = 180

Reorder the terms:

3x + (15 + 8x) = 180

Remove parenthesis around (15 + 8x)

3x + 15 + 8x = 180

Reorder the terms:

15 + 3x + 8x = 180

Combine like terms: 3x + 8x = 11x

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Solving

15 + 11x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + 11x = 180 + -15

Combine like terms: 15 + -15 = 0

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Combine like terms: 180 + -15 = 165

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Divide each side by '11'.

x = 15

Simplifying

x = 15

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