Describe the solution to the system of equations graphed below.

6x + y = -12
18x + 3y = -36

a.
the system has the unique solution (3, 36).
b.
the system has the unique solution (6, 10).
c.
the system has infinitely many solutions of the form y = -6x - 12 where x is any real number.
d.
the system has no solution.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?