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Hello
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x+ y = 16 _________(1)
x = 16 - y ______(2)
also , 1/x + 1/y = 1/3 ______(3)
MBS by 3xy in 3
we get
3y + 3x = xy
3(x+y) = xy ______(4)
put x = 16-y in eq 4
3(16 - y + y ) = (16-y) y
48 = 16y - y²
y² - 16y + 48 = 0
y² - 12y-4y + 48 = 0
y(y -12) -4(y-12) = 0
(y-12) (y-4) = 0
y = 12 or y = 4
____________________________________
x = 16 - y
if y = 12 then x = 4
if y = 4 then x = 12
____________________________________
___________________________________________________________
x+ y = 16 _________(1)
x = 16 - y ______(2)
also , 1/x + 1/y = 1/3 ______(3)
MBS by 3xy in 3
we get
3y + 3x = xy
3(x+y) = xy ______(4)
put x = 16-y in eq 4
3(16 - y + y ) = (16-y) y
48 = 16y - y²
y² - 16y + 48 = 0
y² - 12y-4y + 48 = 0
y(y -12) -4(y-12) = 0
(y-12) (y-4) = 0
y = 12 or y = 4
____________________________________
x = 16 - y
if y = 12 then x = 4
if y = 4 then x = 12
____________________________________
ayush102:
what is MBS
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