Question

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

Answer 1

SOLUTION IS IN THE ATTACHMENT..

Sometimes equation are not linear but they can be reduced to a pair of linear equation by making some suitable substitutions.
•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.
HOPE THIS WILL HELP YOU….

Answer 2

here, is lenear equation but some complex are there,
So, •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