Question

Solve the following pair of linear equations by reducing the pair of linear equation 5x+y=2xy ,6x-3y=xy

Answer 1

Answer:

Step-by-step explanation:

5x+y=2xy

÷xy⇒5/y+1/x=2------------------------------------------(1)

6x-3y=xy

÷xy⇒6/y-3/x=1-------------------------------------------(2)

Let i/x=u and 1/y=v

1⇒5v+u=2--------------------------------------(3)

2⇒6v-3u=1-------------------------------------(4)

(1)x3⇒15v+3v=6-------------------------------(5)

(5)+6⇒21v=7

∴v=1/3

⇒x=3

now put v=3 in (3)

5(3)+u=2

15+u=2

u=-13

∴y=-1/13