2W($5.75)+L($5.75+$11.75)=$1300
W = [1300-L(17.50)]/11.50
L = [1300-W(11.50)]/17.50
solve from there... i might've mucked up something, dont have a calculator handy
I think you did muck something up.
You have one equation with two unknowns. Your decomposition doesn't work either. You could rewrite your first equation as:
1300=17.5L+11.5W
Put L in terms of W, like you did, and you have L=(1300-11.5W)/17.5
Plug that into the initial equation, to give you a function of only W, and you'll see what happens...
1300=17.5((1300-11.5W)/17.5)+11.5W
The 17.5's cancel, leaving you with 1300=1300-11.5W+11.5W, so 0=-11.5W+11.5W
That is valid for W= any real number. W could equal 1,000,000,000, and you'd have -11,500,000,000+11,500,000,000=... Zero. All you really found out is that W=W, and I don't think that was the point.
To the OP, none of us are going to do your homework for you. If that is what you want, then I'd suggest posting somewhere else.
What we WILL do, is help point you in the right direction. The only way we can do that is if you tell us the steps you've taken, where you are stuck, and how you think the problem should work out. If you REALLY have no idea how to approach the problem, consider the work you are doing in class and apply that knowledge. We can't help you if you don't put forth the effort to try.
At the end of the day, the homework and all tests are up to you.