Question

solve : 1/(3x+y) + 1/(3x-y)=3/4. 1/2(3x+y) + 1/2(3x-y)=-1/8

Answer 1

Hiii friend,

1/(3X+Y) + 1/(3X-Y) = 3/4....(1)

1/2(3X+Y) +1/2(3X-Y) = -1/8..…..(2)


Let 1/(3X+Y) = U and 1/3X-Y = V.

Putting 1/(3X+Y) = U and 1/(3X-Y) = V in equation (1) and (2).


U + V = 3/4

4(U+V) = 3


4U + 4V = 3.......(3)×2

8U + 8V = 6.....(3)

And,

U/2 + V/2= -1/8


U + V = -2/8

8U + 8V = -2.......(4)


Subtracting equation (3) from equation (4)

8U + 8V = 6

8U + 8V = -2
_____________

cancelled..


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