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Question

Solve the following systems of equations.
x2+y2=252xy,y(x+y)=10

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Solution

Given that x2+y2=252xy
x2+y2+2xy=25
(x+y)2=25
(x+y)=5
Now, y(x+y)=10
Put the value of (x+y)=5 in above equation
y(5)=10
y=105=2
x=3

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