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| 1. |
xy/x+y=2/3 ;xy/y_x=2 |
| Answer» xy/x+y=2/3;xy/y-x=2xy/x+y=2/33xy=2x+2yDividing both sides by xywe get,2x+2y/xy=32/y+2/x=3 -1similarly, xy/y-x=2will be 2/x-2/y=1 -2Let,1/x=u and 1/y=vThen, eq. 1 and 2 will become2v+2u=3 -32u-2v=1 -4Adding eq.3 and 44u=4u=1 putting in eq.3we get, v=1/2Now, u=1/x1/x =1/1 x=1v=1/y1/y=1/2 y=2 | |