SOLUTION: Let the operation x ¤ y be defined by x ¤ y = (2y + x) + (3x - y). If 2 ¤ 1 = 3 ¤ w, what is the value of w?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Let the operation x ¤ y be defined by x ¤ y = (2y + x) + (3x - y). If 2 ¤ 1 = 3 ¤ w, what is the value of w?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 259701: Let the operation x ¤ y be defined by x ¤ y = (2y + x) + (3x - y).
If 2 ¤ 1 = 3 ¤ w, what is the value of w?

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Don't be freaked by the operation they give you. Looking at it, we can say that it means
"twice the second + the first + 3 times the first minus the second"
We can actually simplify this as
x+%A4+y+=+%28y+%2B+4x%29
--
We start with
2 ¤ 1 = 4(2) + 1 = 9
and then
3 ¤ w = 4(3) + w
--
set them equal to get
9+=+12+%2B+w
w+=+-3