solve the following pair of equations :-
10/x+y +2/x-y =4
15/x+y - 5/x-y = -2
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10/(x+y) + 2/(x-y) = 4
10x-10y+2x+2y = 4(x²-y²)
3x-2y = x²-y² ------------(1)
15/(x+y) - 5/(x-y) = -2
15x-15y-5x-5y = -2(x²-y²)
5(x-2y) = -(x²-y²) -------------------(2)
add equation (1) & (2)
8x - 12y = 0
x = 3y/2
put x = 3y/2 in equation (1) & solve for y we get
y² - 2y = 0
y = 0 or 2
hence x= 0 or 3
10x-10y+2x+2y = 4(x²-y²)
3x-2y = x²-y² ------------(1)
15/(x+y) - 5/(x-y) = -2
15x-15y-5x-5y = -2(x²-y²)
5(x-2y) = -(x²-y²) -------------------(2)
add equation (1) & (2)
8x - 12y = 0
x = 3y/2
put x = 3y/2 in equation (1) & solve for y we get
y² - 2y = 0
y = 0 or 2
hence x= 0 or 3
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