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# Number Theory Help

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Four positive integers $$p,q,r,s$$ satisfy the following equations:

\begin{align*} pq+2p+q&=348 \\ qr+4q+3r&=373 \\ rs+8r+6s&=544 \end{align*}
What are $$p,q,r,$$ and $$s?$$

I factored the equations, and used divisors to get the values of p, q, r, and s, but i'm not sure if i'm right. Any help would be appreciated :)

Jun 8, 2020

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Four positive integers $$p,q,r,s$$ satisfy the following equations:
\begin{align*} pq+2p+q&=348 \\ qr+4q+3r&=373 \\ rs+8r+6s&=544 \end{align*}

Jun 9, 2020