︷2x+y=3①3x-z=7②x-y+3z=0③

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试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y)

有这样的公式:a^3+b^3+c^2-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)左边减右边,证明:(x+y-2z)^3+(y+z-2x)^3+(z+x-2y)^3-3(x+y

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

(1)x+y+z=23x-y-4z=52x+3y-2z=0消去y4x-3z=711x-14z=15解是x=25/7,y=4,z=17/7(2)2x+3y+z=383x-y-4z=52x+3y-2z=0

已知x,y,z均不为0,且满足方程组{x+y-z=0,①2x-y-5z=0.②试求(2x+y+3z)/(3x-y-z)值

x+y-z=0①2x-y-5z=0②①+②得3x-6z=0x=2z代入①得y=z-x=-z将x=2zy=-z代入所求得(2x+y+3z)/(3x-y-z)=(4z-z+3z)/(6z+z-z)=6z/

解方程x+y+2z=7① 2x+3y-z=12② 3x+2y+z=13③

(z),(x,y)(5x+7y=31,5x+3y=19)(x=2,y=3)(x=2,y=3,z=1)

①x+y+z=6 3x-y+2z=12 x-y-3z=-4 ②x+y-z=2 4x-2y+3y+8=0 x+3y-2z-

(1)x+y+z=6①3x-y+2z=12②x-y-3z=-4③①+②4x+3z=18④②-③2x+5z=16⑤⑤×24x+10z=32⑥⑥-④7z=14解得z=2代入⑤2x+5×2=16解得x=3将

解方程一;{x+y-z=6,x-3y+2z=1,3x+2y-z=-7.②{3x+4z=7,2x+3y+z=9,5x-9y

x+y-z=6,①x-3y+2z=1,②3x+2y-z=-7③①-②得4y-3z=5④①*3-③得y-2z=25⑤④-⑤*4得5z=-95z=-19代入⑤得y+38=25y=-13代入①得x-13+1

1.解下列方程组,①y-2z=1,x+3z=-1,3x-5y+z=21.②x+y+2z=7,x-2y-z=-4,2x+3

1、y=2z+1,x=-1-3z代入:3x-5y+z=21得:3(-1-3z)-5(1+2z)+z=21-3-9z-5-10z+z=21-18z=29z=-29/18x=-1-3×(-29/18)=-

x+2y+3z=14 2x+y+z=7 3x+y+2z=11

2x+y+z=7,3x+y+2z=11可得x+z=42(2x+y+z)=14,x+2y+3z=14可得3x-z=0x+z=4,3x-z=0可得x=1,所以z=3,y=2

解方程:{2x+3y+z=7,x+y+z=4,3x+y-z=-4

(1)2x+3y+z=7(2)x+y+z=4(3)3x+y-z=-4(1)和(2)相减得(4)x+2y=3(2)和(3)相加得(5)4x+2y=0(4)和(5)相减:3x=-3;x=-1代入到(4)2

解方程组x+y+z=3 ① 3X+2Y+Z=2 ① 2x+3y+2z=7 ② X+3Y+2Z=1 ② x-y=0 ③ 2

解方程组x+y+z=3①2x+3y+2z=7②x-y=0③将3代入1得2x+z=34将3代入2得5x+2z=75联立4、5得x=1z=1所以y=1解方程组3x+2y+z=2①X+3Y+2Z=1②2X+

2x+4y+3z=9① 3x-2y+5z=11② 5x-6y+7z=13③

2x+4y+3z=9①3x-2y+5z=11②5x-6y+7z=13③①+2*②得:8x+13z=31(4)②*3-③得:4x+8z=20(5)(5)*2-(4)得:3z=9z=3代入(4)得:x=-

{x+y+z=1;x+3y+7z=-1;z+5y+8z=-2

这个题目没有问题么,我是说最后一个式子确定是z+5y+8z=-2?如果没有问题的话:x+y+z=1;①x+3y+7z=-1;②z+5y+8z=-2③①-②2Y+6Z=-2Y=(-2-6Z)/2=-1-

已知x/2=y/4=z/7,求①x:y:z.②若2x+y+3z=58,分别求x,y,z的值.③求x+y/x+z的值.

①令x/2=y/4=z/7=k所以x=2k,y=4k,z=7k所以x:y:z=2:4:7②2x+y+3z=58即4k+4k+21k=5829k=58k=2x=2k=4y=4k=8z=7k=14③(x+

三元一次方程求解:①x+2z=3,2x+y=2,2y+z=7.②x+y+z=2,3x-y-4z=5,2x+3y-2z=0

x+2z=3⑴2x+y=2⑵2y+z=7⑶⑴+⑵+⑶=12则x+y+z=4⑷⑴+⑵-⑷,得2x+z=1⑸解二元一次方程⑴⑸,得x=-1/3,z=5/3把x=-1/3代入⑵,得y=8/3所以x=-1/3

解方程组:2x+3y+z=3①,7x+6y+z=4②,x+y+z=7/3③.

②-①得5x+2y=3④①-③得x+2y=2/3⑤④-⑤得3x=1/3x=1/9⑥把⑥带入⑤1/3+2y=2/32y=1/3y=1/6⑦把⑥,⑦带入③1/3+1/6+z=7/3z=11/6有什么不明白

解三元一次方程组 ①2x-y+z=1 3x+y -2z=2 X+2y-z=3 ②x-4y+z=-3 2x+Y-Z=18

1、解为x=4/5,y=8/5,z=1;2、解为x=7,y=2,z=−2;3、解为x=67/48,y=5/6,z=−23/24.

x/2=y/3=z/5 x+3y-z/x-3y+z

设x/2=y/3=z/5=ax=2ay=3az=5a是不是求的是:(x+3y-z)/(x-3y+z)?若是,如下:(x+3y-z)/(x-3y+z)=(2a+9a-5a)/(2a-9a+5a)=-3

已知4x-3y-6z=0 ① ,x+2y-7z=0 ②,且x,y,z均不为0,求3x+2y+z÷x+2y+3z的值

把xyz三个未知数中的一个看成已知数解方程组,再把结果代入式子计算;手机写步骤慢希望能理解再问:4x-3y-6z=0(1)x+2y-7z=0(2)��(2)��x=7z-2y(3)��(3)����(