Question

solve for x and y : 7x-2y=5xy
8x+7y=15xy

Answer 1

so, the solution of given system of equation is x = 66/290 and y = 33/65

Answer 2

7x-2y= 5xy       ……(1)
8x+ 7y=15xy  …….(2)
now, eq. (1)
7/y- 2/x= 5    ….(3)
now, eq. 2
8/y+7/x=15   ….(4)
now let 1/y= u and 1/x= v
so, eq,(3)
7u-2v= 5   ….(5)
and eq.(4)
8u-7v=15 .....(6)
Now by applying elimination method in eq. (5) and (6), we get:
25u=5
=> u=1/5
if u=1/5
therefore, v=5
so, 
y=5
and x= 1/15
                                                                         -Adi.