Question

solve the following linear equation by reducing them to pair of linear eq.
(10/ x+y) + (2/ x- y) = 4
(15/ x+y) - (5 /x -y) = -2

Answer 1

hey... here's ur solution,
let,
(10/ x +y ) + ( 2/x-y) =4 ....................1

(15/ x + y) - ( 5/ x -y) =-2.....................2


let,
1/x+y. =p. and
1/x-y. = q

putting this in eq 1 nd 2
we get,

10p + 2q =4 .........................3
15p - 5q. = -2.......................4

frm eq 3
2q = 4- 10p
q = 2-5p....................... 5



putting this in eq 4
we get,

15p - 5( 2-5p) = -2
solve it,
uh will get,
p :1/5


putting value of p in eq 5

q = 2- 5( 1/5)
q =1

put d value of p and q in,

(1/ x + y =p and. 1/x-5 = q)

1/x+y = 1/5 and 1/ x-y = 1/1

x + y = 5..................6
x - y =1.......................7

add equation 6 n 7

x = 3
y= 2.