X=10–5y
3(10 – 5y)+6y=12
30–15y+6y=12
30 – 9y=12
-9y=-18
y= 2
Joey has to solve the system of equations using substitution. He has completed the work shown. What should be his next step?
Nothing, he is done
He needs to write his solution as an ordered pair (0.2).
He needs to plug back into one of the equations to find x.
He needs to check his work to make sure he made no mistakes.

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

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?

Mr. brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. he has drawn a sketch on a coordinate grid. he has the lower vertices of the sign at (9, –3) and (–6, –3). where would the upper vertices be on the grid?