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Omni-MATH / Let n be the answer to this problem. a and b are positive integers satisfying begin{aligned} & 3a+5b equiv 19 quad(bmod n+1) & 4a+2b equiv 25 quad(bmod n+1) end{aligned} Find …

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problem

Let nn be the answer to this problem. aa and bb are positive integers satisfying $$\begin{aligned} & 3a+5b \equiv 19 \quad(\bmod n+1) \\ & 4a+2b \equiv 25 \quad(\bmod n+1) \end{aligned}$$ Find 2a+6b2a+6b.
Plain-text mathematical notation (without MathML)
Let n be the answer to this problem. a and b are positive integers satisfying $$\begin{aligned} & 3a+5b \equiv 19 \quad(\bmod n+1) \\ & 4a+2b \equiv 25 \quad(\bmod n+1) \end{aligned}$$ Find 2a+6b.
Original LaTeX notation
Let $n$ be the answer to this problem. $a$ and $b$ are positive integers satisfying $$\begin{aligned} & 3a+5b \equiv 19 \quad(\bmod n+1) \\ & 4a+2b \equiv 25 \quad(\bmod n+1) \end{aligned}$$ Find $2a+6b$.

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