Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. a boutique in fairfax specializes in leather goods for men. last month, the company sold 39 wallets and 13 belts, for a total of $2,639. this month, they sold 39 wallets and 14 belts, for a total of $2,686. how much does the boutique charge for each item? the boutique charges $ for a wallet, and $ for a belt.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?