已知X+2Y-Z=8,2X-Y+Z=18,则8X+Y+Z=
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已知X+2Y-Z=8,2X-Y+Z=18,则8X+Y+Z=
已知X+2Y-Z=8,2X-Y+Z=18,则8X+Y+Z=
已知X+2Y-Z=8,2X-Y+Z=18,则8X+Y+Z=
由X+2Y-Z=8 得2X+4Y-Z=16(等式两边同时乘以2) 由2X-Y+Z=18得6X-3Y+3Z=54(同时乘以3) 以上两式相加得8X+Y+Z=70
结果是:70 2X-Y+Z=18这个等式的两边各乘以2得到4X-2Y+2Z=36 这个等式和X+2Y-Z=8左右两边各相加得到5X+Z=44 X+2Y-Z=8和2X-Y+Z=18左右两边各相加得到3X+Y=26,所以5X+Z+3X+Y=8X+Y+Z=44+26=70
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