Help please!

Positive integers x and y have a product of 56 and x

x * y = 56..............................(1)

7*1/x  +  14*1/y = 4...................(2)

Can you solve the 2 simultaneous equations? Try it.

xy = 56   ⇒  y = 56/x

And

7 (1/x) +  14(1/y) = 4

7/x + 14/y  = 4

7/x + 14 / (56/x)  = 4

7/x + (14/56)x  = 4

7/x + (1/4) x  = 4          multiply through by  4x

28 + x^2 = 16x           rearrange as

x^2 - 16x + 28  = 0      factor as

(x - 14) ( x - 2)  = 0

Set each factor to 0  and solve for x   and we have that

x = 14     or x = 2 

And y =

56/14 = 4     or   56/2 = 28

So  (x,y)   = (2, 28)