Question

solve for x and y 5/x+1/y=2 6/x-3/y=1

Answer 1

Given 1st equation is 5/x + 1/y = 2

  On cross multiplication, we get

 5y + x = 2xy  ----- (1)


Given 2nd equation is 6/x - 3/y = xy

 On cross-multiplication, we get

6y - 3x = xy   ------ (2)


On solving (1)*3 & (2), we get

15y + 3x = 6xy

6y - 3x = xy

----------------------

21y = 7xy

21y/7y = x

x = 3.


Substitute x = 3 in (1), we get

5y + x = 2xy

5y + 3 = 2(3)(y)

5y + 3 = 6y

3 = 6y - 5y

3 = y.


Therefore the value of x = 3.

                  the value of y = 3.


Hope this helps!