Question

Solve the following by any suitable method

Answer 1

8x - 3y  = 5xy   ----1equation 
6x - 5y = -2xy   -----2equation 

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

[ 8x - 3y = 5xy  ]      ×   5
[ 6x - 5y = -2xy ]      ×   3

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

40x - 15y = 25xy   ---3equation 
18x - 15y = -6xy    ---4equation 

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

Subtracting eq(4) from eq(3)

40x - 15y = 25xy 
18x - 15y = -6xy 
-     +           + 
_______________
22x   + 0  = 31 xy 
_______________

22x = 31 xy 

22 = 31 y 

22/31 = y 

=========================

Putting the value of y in 1equation, 

8x - 3y = 5xy 

8(22/31) - 3x = 5(22/31)x 

(176/31) = 110x/31 + 3x 

176/31 = 203x/31 

176 = 203x

176/203 = x