convert the following equation in to simultaneous equation and solve
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Take √x/y = 4 ......as 1eqn
take 1/x+ 1/y = 1/xy as 2nd eqn
squaring on both side of eqn 1
1x/y = 16
1x=16y
1x-16y =0 ........( 3 )
solve 2nd eqn
y+x/xy = 1/xy
y+x=1 (multiply by xy on both side.)
x+y=1 ............( 4 )
solve 3 and 4 eqn
x-x - 16 y - y =0 -1
-17y = -1
y = 1/17
put y= 1/17 in 4th eqn
x + 1/17 = 1
17x +1 / 17 = 1
17x +1 = 17
17x = 17- 1
x= 16/17
therefore x = 16/17 and y = 1/17 is the solution of the given simultaneous equation.
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