若x-y/x+y=5,求x-y/2x+2y+5x+5y/3x-3y的值

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若x-y/x+y=5,求x-y/2x+2y+5x+5y/3x-3y的值

若x-y/x+y=5,求x-y/2x+2y+5x+5y/3x-3y的值
若x-y/x+y=5,求x-y/2x+2y+5x+5y/3x-3y的值

若x-y/x+y=5,求x-y/2x+2y+5x+5y/3x-3y的值
若x-y/x+y=5
则x-y=5(x+y)
所以求x-y/2x+2y+5x+5y/3x-3y
=5(x+y)/[2(x+y)]+5(x+y)/3(x-y)
=5/2+5(x+y)/[3*5(x+y)]
=5/2+1/3
=17/6

﹙x-y﹚/﹙2x+2y﹚ +﹙5x+5y﹚/﹙3x-3y﹚
=1/2×﹙x-y﹚/﹙x+y﹚+5/3×﹙x+y﹚/﹙x-y﹚
=1/2 ×5+5/3×1/5
=5又1/2.

x-y/x+y=5
(x+y)/(x-y)=1/5
x-y/2x+2y+5x+5y/3x-3y
=1/2(x-y)/(x+y)+5/3(x+y)/(x-y)
=5/2+1/3
=17/6

(x-y)/(x+y)=5,
(x+y)/(x-y)=1/5
(x-y)/(2x+2y) + (5x+5y)/(3x-3y)
= 1/2 * (x-y)/(x+y) +5/3 * (x+y)/(x-y)
= 1/2 * 5 + 5/3*1/5
= 5/2 + 1/3
= 17/6