已知x,y,z满足2x=3y-z=5z+x,求5x-yy+2z的值.-数学

题目简介

已知x,y,z满足2x=3y-z=5z+x,求5x-yy+2z的值.-数学

题目详情

已知x,y,z满足
2
x
=
3
y-z
=
5
z+x
,求
5x-y
y+2z
的值.
题型:解答题难度:中档来源:不详

答案

class="stub"2
x
=class="stub"3
y-z
=class="stub"5
z+x
=class="stub"1
k

∴x=2k,y-z=3k,x+z5k,
∴y=6k,z=3k.
class="stub"5x-y
y+2z
=class="stub"5×2k-6k
6k+2×3k
=class="stub"4k
12k
=class="stub"1
3

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