SOLUTION: Any help will be appreciated thanks! If (10/x)-(4/y)=2 and (10/x)+(4/y)=0, what is the value of x+y?

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Question 1020458: Any help will be appreciated thanks!
If (10/x)-(4/y)=2 and (10/x)+(4/y)=0, what is the value of x+y?
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Add the two equations together to eliminate .


Solve for .
Then use either equation to solve for .
Then calculate
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.
Any help will be appreciated thanks!
If (10/x)-(4/y)=2 and (10/x)+(4/y)=0, what is the value of x+y?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

You start with this system of equations

 -  = ,   (1) 
 +  = .   (2)

Add the two equations. The terms with y will cancel, and you will get a single equation for x

 = .

Hence, x =  = .

Now distract the equation (1) from the equation (2). Then the terms with x will cancel, and you will get single equation for y.

Please complete it yourself. You are just in the straightforward way.


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