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数学
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已知x、y、z满足2x+3y+z=48 x-2y+2z=56 3x+5y+3z=52 则x+y+z的值为多少 急
人气：266 ℃ 时间：2020-03-25 17:44:17
解答
2x+3y+z=48 ①
x-2y+2z=56 ②
3x+5y+3z=52 ③
①+②+③得6x+6y+6z=156
所以x+y+z=26
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2x+3y+z=48,x-2y+2z=56,3x+5y+3z=52
(3x+2y=268 2x+3y=212) x-y=56 x=56+y 3(56+y)+2y=268 168+5y=268 5y=100 y=20 3x+40=268 3x=228 x=76 用
x+y+z=2 ① 2x+3y+z=38 ① x+y=3 3x-y-4z=5 ② 3x+4y+2z+56 ② y+z=5 2x+3y-2z=0 ③ 4x+5y+z=66 ③ x+z=4
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