Diofant 2

Is equation
70x+52y=3470x +52y = 34
solvable on the set of integers Z?

Result




Solution:

70=25752=2213GCD(70,52)=2=2  342=17Z70 = 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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