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標題:

urgent!! please help!! maths question

發問:

0.8 X + 0.06 Y + 0.04Z= X 0.15 X +0.90Y +0.06Z= Y X + Y + Z = 1 the answer is X = 0.2077 Y = 0.4918 Z= 0.3005 why the answer like this? i want to knwo how to calculate. it is not difficlut, but i forgot how to calculate. please help !!! can you explain to me !! thanks!!

最佳解答:

0.8x+0.06y+0.04z=x -----(1) 0.15x=0.9y+0.06z=y -----(2) x+y+z=1-----(3) By (1) and (3),we find that 0.2x=0.06y+0.04(1-x-y) 0.24x=0.02y+0.04------(4) By (2) and (3) 0.1y=0.15x+0.06(1-x-y) 0.09x=0.16y-0.06----(5) By (4) and(5) (0.24/0.09)(0.16y-0.06)=0.02y+0.04 y=0.4918 Put y=0.4918 into (4)or (5), we find that x=0.2076 Put x and y into (3) then z=0.3006

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