SOLUTION: I was hoping to find the answer to this problem as well as the work on how to solve it. It is a particularly important review question I want to have on hand to refer back to if I

Question 664543: I was hoping to find the answer to this problem as well as the work on how to solve it. It is a particularly important review question I want to have on hand to refer back to if I get another question like it in the future on homework etc. Thanks!
Solve the following system of equations for x and y:
1/2x + 3/2y = 3/8
9/x - 6/y = 15/12
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve the following system of equations for x and y:
1/2x + 3/2y = 3/8
9/x - 6/y = 15/12
--------------------
1/2x + 3/2y = 3/8
Do you mean (1/2)x + (3/2)y? or 1/(2x) + 3/(2y) ?
I would assume the former, but the 2nd equations appears to have the variables in the denominator.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
--------------------------
Are these the right equations?
If so,
Multiply both sides of (1) by
(1)
Multiply both sides of (2) by
(2)
-------------------------
Multiply both sides of (1) by
and add the equations
(1)
(2)

Divide both sides by

Now plug this back into (1) or (2)
(1)
(1)
(1)
(1)
(1)
------------
check solutions:
(1)
(1)
(1)
(1)
OK
and
(2)
(2)
(2)
(2)
(2)
OK

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