No need to be so trouble. I have an easy way to do!!! x>0 x(y+z)=5 y(x+z)=10 z(x+y)=13 xy + xz = 5 xy + yz = 10 xz + yz = 13 Let a=xy, b=yz, c=xz. a+c=5----------------------------(1) a+b=10--------------------------(2) b+c=13--------------------------(3) (2) - (1) b-c=5----------------(4) (3) + (4) 2b=18 b=9 From equation (3), c=4 From equation (1), a=1 We have xy=1, --------------------(5) yz=9, --------------------(6) xz=4 --------------------(7) From equation (5), x=1/y------(8) Put (8) into (7), z/y=4 z=4y----------(9) Put (9) into (6), 4y^2=9 y= +-3/2---(10) Put (10) into (8), x= +-2/3 Since x > 0, x= -2/3 and y= -3/2 have to be rejected. Therefore, x=2/3 and y=3/2 Put y = 3/2 into (9), z=6 Overall, x=2/3 y=3/2 z=6 |