x1+x2+2x3+3x4=4 ①
X1+x2+x4=4 ②
3x1+x2+5x3+10x4=12 ③
4x1+5x2+9x3+13x4=18 ④
由①-②得:x3=-x4
代入③后-②得:x1=4-2x4
代入②得:x2=x4
将 x3=-x4,x1=4-2x4 ,x2=x4
代入④得:x4=2
那么:x3=-x4=-2
x2=x4=2
x1=4-2x4=0
x1+x2+2x3+3x4=4 ①
X1+x2+x4=4 ②
3x1+x2+5x3+10x4=12 ③
4x1+5x2+9x3+13x4=18 ④
由①-②得:x3=-x4
代入③后-②得:x1=4-2x4
代入②得:x2=x4
将 x3=-x4,x1=4-2x4 ,x2=x4
代入④得:x4=2
那么:x3=-x4=-2
x2=x4=2
x1=4-2x4=0