Question

solve for x and y x + 4 Y is equals to 27 X Y and X + 2 Y is equals to 21 x y​

Answer 1

Answer:

Step-by-step explanation:

x+4y=27xy                                                           (1)

x+2y=21xy                                                           (2)

 divide both the equation by xy

(x+4y =27xy)/xy

x/xy+4y/xy =27xy/xy

1/y+4/x =27

1(1/y)+4(1/x)=27

substitute

p = 1/x

q =1/y

     p+4q =27                          (3)

-     p+2q =21                        (4)

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

         2q    = 6

 

 q =6/2

    =3

 now ,substitute q's value in equation     (4)

  

 p+2q =21

  

 p+2 * 3  = 21

p + 6 =21

 

p =21-6

   

   =15             

therefore

 we know that

q= 1/y

1/y =1/3

p =1/x

 

1/x = 1/15

Answer 2

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