Question

4x+6y=3xy 8x+9y=5xy by elimination method​

Answer 1

Answer:

4x + 6y = 3xy ................ ( 1 )

8x + 9y = 5xy ................ ( 2 )

multiplying equation ( 1 ) by 8 and equation ( 2 ) by 4 , we get

8 ( 4x + 6y - 3xy ) = 0

4 ( 8x + 9y - 5xy ) =0

32x + 48y - 24 xy = 0

32x + 36y - 20 xy = 0

- - -

12y - 4 xy = 0

4y ( 3 - x ) = 0

( 3 - x ) = 0

x = 3

now , for y

putting the value of x 8n equation ( 1 )

4 ( 3 ) + 6y = 3( 3 ) y

12 + 6y = 9y

12 = 9y - 6y

12 = 3y

y = 4

Answer 2

Answer:

4x+6y=3xy - ( 1 )

8x+9y=5xy - ( 2 )

firstly multiply ( 1 ) by 2

● 8x+12y =6xy

8x+9y =5xy

sub ____________

0 + 3y = xy

so,

3y = xy

3y ÷ y = x

3 = x

then fill this value of x in( 1 )

4 (3 )+ 6y=3(3)y

12 + 6y =9y

12 = 9y-6y

12 = 3y

12÷3 = y

4 = y

so x = 3

y = 4

It is the correct answer