若X1-X5满足下列方程组2乘X1 +X2+X3+X4+X5=6X1+ 2乘X2 +X3+X4+X5=12X1+X2+ 2乘X3 +X4+X5=24X1+X2+X3+ 2乘X4 +X5=48X1+X2+X3+X4+ 2乘X5 =96求3乘X4+X5的值.
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若X1-X5满足下列方程组2乘X1 +X2+X3+X4+X5=6X1+ 2乘X2 +X3+X4+X5=12X1+X2+ 2乘X3 +X4+X5=24X1+X2+X3+ 2乘X4 +X5=48X1+X2+X3+X4+ 2乘X5 =96求3乘X4+X5的值.
若X1-X5满足下列方程组
2乘X1 +X2+X3+X4+X5=6
X1+ 2乘X2 +X3+X4+X5=12
X1+X2+ 2乘X3 +X4+X5=24
X1+X2+X3+ 2乘X4 +X5=48
X1+X2+X3+X4+ 2乘X5 =96
求3乘X4+X5的值.
若X1-X5满足下列方程组2乘X1 +X2+X3+X4+X5=6X1+ 2乘X2 +X3+X4+X5=12X1+X2+ 2乘X3 +X4+X5=24X1+X2+X3+ 2乘X4 +X5=48X1+X2+X3+X4+ 2乘X5 =96求3乘X4+X5的值.
五式相加,得:
X1+X2+X3+X4+X5=31
x4=48-31=17
x5=96-31=65
3乘X4+X5
=3*17+65
=116.
6(X1++++X5) = 6+12+24+48+96 =186
X1+X2++++X5 = 31
X1=-25
X2=-19
X3=-7
X4=17
X5=65
简单:
2乘X1 +X2+X3+X4+X5=6 (1)
X1+ 2乘X2 +X3+X4+X5=12 (2)
X1+X2+ 2乘X3 +X4+X5=24 (3)
X1+X2+X3+ 2乘X4 +X5=48 (4)
X1+X2+X3+X4+ 2乘X5 =96 (5)
将上面的5项式子全部相加:
6(X1+X2+X3+X4+ X5 )...
全部展开
简单:
2乘X1 +X2+X3+X4+X5=6 (1)
X1+ 2乘X2 +X3+X4+X5=12 (2)
X1+X2+ 2乘X3 +X4+X5=24 (3)
X1+X2+X3+ 2乘X4 +X5=48 (4)
X1+X2+X3+X4+ 2乘X5 =96 (5)
将上面的5项式子全部相加:
6(X1+X2+X3+X4+ X5 )=6+12+24+48+96
X1+X2+X3+X4+ X5 =1+2+4+8+16=31 ---(6)
(4)-(6)
x4=17
(5)-(6)
x5=65
所以:3乘X4+X5的=3*17+65=116
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2乘X1 +X2+X3+X4+X5=6 , (1)
X1+ 2乘X2 +X3+X4+X5=12 , (2)
X1+X2+ 2乘X3 +X4+X5=24 , (3)
X1+X2+X3+ 2乘X4 +X5=48 , (4)
X1+X2+X3+X4+ 2乘X5 =96 , (5)
(1)+(2)+...+(6): 6(x1+x2+x3+x4+x5)=6+12+...
全部展开
2乘X1 +X2+X3+X4+X5=6 , (1)
X1+ 2乘X2 +X3+X4+X5=12 , (2)
X1+X2+ 2乘X3 +X4+X5=24 , (3)
X1+X2+X3+ 2乘X4 +X5=48 , (4)
X1+X2+X3+X4+ 2乘X5 =96 , (5)
(1)+(2)+...+(6): 6(x1+x2+x3+x4+x5)=6+12+24+48+96=186
x1+x2+x3+x4+x5=186/6=31, (6)
(1)-(6): x1=6-31=-25;
(2)-(6): x2=12-31=-19,
(3)-(6): x3=24-31=-7
(4)-(6): x4=48-31=17
(5)-(6): x5=96-31=65
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