Question

solve by reducible method 6x+3y=6xy, 2x+4y=5xy. I dont want stupid answers. . . I need it step by step. .

Answer 1

We have equations :

6x + 3y = 6xy                                   ----- ( 1 )

2x + 4y =  5xy                                  ----- ( 2 )

We solve these equations by elimination method , As :

Now we multiply by 3 in equation 2 , and get

6x + 12y =  15xy                                ----- ( 3 )

Now we subtract equation 1 from equation 3 and get

9y  = 9xy 

x  =  1

And
we multiply 4 in equation 1 and by 3 in equation 2 , and get

24x + 12y = 24xy                                   ----- ( 4 )

6x + 12y =  15xy                                    ----- ( 5 )

Now we subtract equation 5 from equation 4 and get

18x  = 9xy 

y  =  2

So,

x  =  1 and y =  2                                            (  Ans )