At the zoo, the Spencer family bought 3 adult tickets and 2 children's tickets for $23.50. The Yang family bought 2 adult tickets and 4 children's tickets for $25. Solve the system of equations to find x, the price of an adult ticket and y, the price of a children's ticket 3x+2y=23.5
2x+4y=25

explain

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?