Package a contains 3 birthday cards and 2 you notes and costs $18. package b contains 8 birthday cards and 6 you notes and costs $50. if x represents the cost of a birthday card and y represents the cost of a you note, how much does each birthday card cost?

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?