Question

Solve simultaneous equation
2/x - 3/y =15 ; 8/x + 5/y =77

Answer 1

Step-by-step explanation:

If the given equation involves 1/x, 1/y , then put 1/x= p and 1/y= q to convert them into linear form. After solving, put the values of p and q in above substitutions ,to get the value of x and y.

now,

2p - 3q = 15------------------( 1 )

8p + 5q = 77-----------------( 2 )

from--------( 1 ) & -------( 2 )

multiply by ( 4 ) in ----( 1 ) ]

8p - 12q = 60

8p + 5q = 77

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

-17q = -17

q = 1 [ put in -----( 1 ) ]

2p - 3q = 15

2p - 3( 1 ) = 15

2p = 15 + 3

p = 18/2

p = 9

as we know 1/x = p , 1/y = q

So, put here,

p = 9 = 1/x and q = 1 = 1/y

x = 1/9 and y = 1