7. If $p, q$ are prime numbers, and $5p+3q=91$, then $p=\ldots, q=$ $\qquad$
ニ、7.17,2.
Since $5p + 3q = 91$ is an odd number, one of $p$ or $q$ must be even, and the only even prime number is 2.
Upon inspection, we find that $p = 17, q = 2$.