# Diofant 2

Is equation
$70x +52y = 34$
solvable on the set of integers Z?

Result

#### Solution:

$70 = 2 \cdot 5 \cdot 7 \\ 52 = 2^2 \cdot 13 \\ \text{GCD}(70, 52) = 2 = 2\\ \ \\ \ \\ \dfrac{ 34 }{ 2 } = 17 \in Z$

The equation is a linear Diofant equation with positive coefficients

The equation has 0 positive integer solutions

Calculated by our Diofant problems and integer equations.

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