Solve the following x+y/xy=5 and x-5/xy=7
komalsoni999984:
Hllo
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Answered by
2
Here is your answer Brother!
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instead of y(2x + 1) = 5 you have written y(2x) = 5 , Please correct ur solution
Answered by
4
Answer:
Step-by-step explanation:
(x+y)/xy = 5
x+y = 5xy
7x + 7y = 35xy
(x-5)/xy = 7
x-5 = 7xy
5x -25 = 35xy
7x + 7y = 5x -25
2x = -7y -25
x = (-7y-25)/2
x -5 = 7xy
(-7y-25)/2 - 5 = 7((-7y-25)/2)y
-7y -25 -10 = -49y^2 -175y
49y^2 + 1 68y - 35 = 0
7y^2 + 24y - 5 = 0
y = (-24 +/-(root(24^2 - 4*7*(-5)))/(2*7)
y = (-24 +/-(root(576 +140))/14
y = (-24 +/-(root(716))/14
and get x by putting y in below
x = (-7y-25)/2
Step-by-step explanation:
(x+y)/xy = 5
x+y = 5xy
7x + 7y = 35xy
(x-5)/xy = 7
x-5 = 7xy
5x -25 = 35xy
7x + 7y = 5x -25
2x = -7y -25
x = (-7y-25)/2
x -5 = 7xy
(-7y-25)/2 - 5 = 7((-7y-25)/2)y
-7y -25 -10 = -49y^2 -175y
49y^2 + 1 68y - 35 = 0
7y^2 + 24y - 5 = 0
y = (-24 +/-(root(24^2 - 4*7*(-5)))/(2*7)
y = (-24 +/-(root(576 +140))/14
y = (-24 +/-(root(716))/14
and get x by putting y in below
x = (-7y-25)/2
-7y-25
y= -3.6256 & 0.197
x= 0.1895 & -13.1895
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