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?

Algebra ->  Coordinate Systems and Linear Equations -> 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?      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
Add the two equations together to eliminate y.
10%2Fx-4%2Fy%2B10%2Fx%2B4%2Fy=2%2B0
20%2Fx=2
Solve for x.
Then use either equation to solve for y.
Then calculate x%2By

Answer by ikleyn(52788) About Me  (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?
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You start with this system of equations

10%2Fx - 4%2Fy = 2,   (1) 
10%2Fx + 4%2Fy = 0.   (2)

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

20%2Fx = 2.

Hence, x = 20%2F2 = 10.

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.