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Solve the simultaneous equations
xy = 4
x + y = 5

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x = 4/y                     
4/y + y = 5
4 + y2 = 5y               
y2 − 5y + 4 =0
y2 − y − 4y + 4 = 0
y(y−1) − 4(y −1) = 0
(y − 4)(y−1) = 0
y = 4 ; y = 1              
x = 1   x = 4     

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