Question

if x-y/xy=5 and x+y/xy=7 then the value of x is

Answer 1

Answer:

x=1

Step-by-step explanation:

x+y=5xy

x-y=7xythen

2x=12xy~X=6xy

y=xy~1=x

from x=6xy

y=1/6

Answer 2

If x-y/xy = 5 and x+y/xy = 7 then the value of x is 1

Solution:

Given that,

$\frac{x-y}{x y}=5$

On cross-multiplication we get,

x - y = 5xy ……… [Equation 1]

Also given that,

$\frac{x+y}{x y}=7$

On cross-multiplication we get,

x + y = 7xy ……… [Equation 2]

subtracting equation 2 from equation 1 we get

x + y - (x - y) = 7xy - 5xy

x + y - x + y = 7xy - 5xy

2y = 2xy

$\frac{2 y}{2 y}=x$

x = 1

Thus the value of "x" is 1

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