Question

X+y=8,1/x+1/y=8/5 solve

Answer 1

x + y = 8.

x = 8 - y.

Put this value in second equation.

1/x + 1/y = 8/15.

1/8-y + 1/y = 8/15.

8/8y-y^2 = 8/15.

15 = 8y - y^2.

y^2 -8y + 15 = 0.

y^2 - 5y - 3y + 15 = 0.

y( y - 5) -3 (y - 5) = 0

(y - 5)( y - 3 ) = 0 .

y = 5 , 3.

x = 8 - y.

x = 8-5 , 8-3.

x = 3 , 5.

Answer 2

Step-by-step explanation:

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