Please solve this for brainlist and 28 points only brainlist if you get them all right

Solve for x, y, and z. show all steps.

The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers

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?