+166 For $(x,y)$, positive integers, let $10xy+14x+15y=166$. Find $x+y$.
Suppose $x$ is a solution to $x^2 + 1 = 7x$. What is the sum of $x$ and its reciprocal?
+37 "The sum of x and its reciprocal" is equal to \(x+\frac1x\), which simplifies to \(\frac{x^2+1}{x}\). We know that from the equation, the numerator is equal to 7x. 7x/x is simply equal to 7.
