### Instruction: If $3p+4q=8$ and $4p+3q=13$, what is $q$ equal to?### Response: I notice that the coefficients of $p$ and $q$ are reversed in the two equations, so I wonder if I can use elimination to get rid of one of them.
I try multiplying the first equation by 4 and the second equation by 3, and then subtracting them to eliminate $p$.
I get $12p+16q-12p-9q=32-39$, which simplifies to $7q=-7$.
Dividing both sides by 7, I get $q=-1$.