Diofant 2

Is equation

$70x+52y=34$

solvable on the set of integers Z?

Result

Yes

No

Step-by-step explanation:

$$\begin{gathered} 70=2\cdot 5\cdot 7 \\ 52=2^2\cdot 13 \\ \text{GCD}(70,52)=2=2 \\ {\displaystyle \frac{34}{2}}=17\in Z \end{gathered}$$

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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