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数学
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实数x,y,m满足:
3x+5y−2−m
+
2x+3y−m
=
x−199+y
•
199−x−y
,则m=( )
A. 100
B. 200
C. 201
D. 2001
人气:273 ℃ 时间:2020-02-05 23:21:21
解答
依题意,得
x−199+y≥0
199−x−y≥0
,解得x+y=199,
∴
3x+5y−2−m
+
2x+3y−m
=0,
∴
x+y=199
3x+5y−2−m=0
2x+3y−m=0
,
解方程得
x=396
y=−197
m=201
.
故选C.
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