1.3(x+y)-4(x-y)=4 x+y/2 + x-y/6 =6 2.x+2y+3z=7 2x+y+z=7 3x+y+2z=11 3.x:y:z=1:2:7 2x-y+3z=214.4x-3y=1 x+2y-z=5 3x-y+2z=2
1.3(x+y)-4(x-y)=4 x+y/2 + x-y/6 =6 2.x+2y+3z=7 2x+y+z=7 3x+y+2z=11 3.x:y:z=1:2:7 2x-y+3z=21
4.4x-3y=1 x+2y-z=5 3x-y+2z=2
第一题
3(X+Y)-4(x-Y)=4 (1) 3X+3Y-4x+4Y=4 -x+7y=4 -4x+28Y=16
X+Y/2+X-y/6=6 (2) 3x+3Y+x-Y=36 4x+2Y=36 4x+2Y=36
两个等式相加得出 Y=26/15 X=122/15
第二题
1.3(x+y)-4(x-y)=4 ......(1)
x+y/2 + x-y/6 =6 ......(2)
又(1)得7y-x=4......得x=7y-4
代人(2)式得(4y-2)+(3y-2)/3=6
得y=26/15,x=122/5
2.x+2y+3z=7.....(1)
2x+y+z=7......(2)
3x+y+2z=11 ......(3)
由(3)-(2)得x+z=4即z=4-x......(4)
由(1)-2乘以(2)得z-3x=-7即z=3x-7.....(5)
得x=11/4 代入(4)式得z=5/4所以 y=1/4
3. x:y:z=1:2:7 (1)
2x-y+3z=21 (2)
由(1)得y=2x,z=7x代入(2)式
得x=1, y=2 z=7
4.4x-3y=1.......(1)
x+2y-z=5....... (2)
3x-y+2z=2......(3)
由2乘以(2)式+(3)式得5x+3y=12.....(4)
由(1)+(4)式得x=13/9,
依次代入得 y=43/27 z=-10/27
1:1.3(x+y)-4(x-y)=4,(1)x+y/2 + x-y/6 =1 (2)由(1),得:x=7y-4,代入(2),得14y-y/3=9,y=27/41,x=25/412.5x+4y+z=0,(1)3x+y-4z=11,(2) x+y+z=-2 (3)4(1)+(2):23x+17y=11 (4)(1)-(3):4x+3y=2 (5)3(4)-17(5):x=-1由(5),y...
1: x=122/5 y=26/15
2: x=11/4 y=1/4 z=5/4
3: x=1 y=2 z=7
4: x=13/9 y=43/27 z=-10/27