方程组Y=X-3 Y-2X=5

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方程组Y=X-3 Y-2X=5
x+y/2+x-y/3=6,4(x+y)-5(x-y)=2用加减消元法解方程组

1,x+y/2+x-y/3=6即:5x-y=36①4(x+y)-5(x-y)=2即:-x+9y=2②①+②*5==可接2,先化整:3(x+y)+2(x-y)=36①4(x+y)-5(x-y)=2②①*

3(x+y)+2(x-y)=36 4(x+y)-5(x-y)=2 解方程组

5x+y=369y-x=2即45y-10+y=36y=1x=7

解下列方程组:x+2=3y,2x=3y.解下列方程组:3x+y=7,5x-2y=8.

x+2=3y①2x=3y②将②代入①得:x+2=2x2x-x=2x=2将x=2代入②得:4=3yy=4/33x+y=7①5x-2y=8②①×2得:6x+2y=14③②+③得:11x=22x=2将x=2

解二元一次方程方程组 3x+5y=8 2x-3y=-1的方程组 x+y=9 3(x+y)+2x=33已知方程组2x-y=

【参考答案】1、3x+5y=8①2x-3y=-1②①x2得6x+10y=16③②x3得6x-9y=-3④③-④得19y=19即y=1把y=1带入②得x=1∴原方程组的解是x=1,y=12、x+y=9①

解二元一次方程组:{5(x+y)+3(x-y)=2{7(x+y)-3(x-y)=-6

{5(x+y)+3(x-y)=2{7(x+y)-3(x-y)=-6原方程组化简得﹛4x+y=1(1)2x+5y=-3(2)(1)×5得20x+5y=5(3)(3)-(2)得18x=8x=4/9代入(1

解方程组x:y=2:3和5x+3y=38 3y+x/y=8和9y-2x/y=9

x:y=2:3和5x+3y=38y=3x/2;5x+3y=385x+9x/2=3819x=76x=4y=63y+x/y=8和9y-2x/y=96y+2x/y=16;9y-2x/y=915y=25y=5

解方程组: {3x+2y=13 3x-2y=5 {x-y/3=x+y/2+1 2x-5y=9

3x+2y=13①3x-2y=5②由①+②,得6x=18,x=3x=3代入②,得y=2该方程组的解集为x=3,y=2x-y/3=x+y/2+1①2x-5y=9②由①,得-y/3=y/2+1,y=-6/

解方程组 {(x+y)/2+(x-y)/3=6 5(x+y)-2(x-y)=4

(x+y)/2+(x-y)/3=6①5(x+y)-2(x-y)=4②由①得3x+3y+2x-2y=365x+y=36y=36-5x③由②得5x+5y-2x+2y=43x+7y=4④③代入④得3x+25

解方程组:x+y/2+x-y/3=6 4(x+y)-5(x-y)=12

设a=x+y,b=x-y原方程组为:a/2+b/3=6,即3a+2b=36,即:12a+8b=1444a-5b=12,即:12a-15b=36相减得:23b=108,得:b=108/23,再得:a=1

解方程组 {3(x+y)-4(x-y)=11 {2(x-y)+5(x+y)=27全过程、快

方程化为-x+7y=1117x+3y=272将1式化为x=7y-113则将3式代入2式可得7(7y-11)+3y=2752y=104y=2x=7×2-11x=3所以解得x=3y=2

解方程组{(x-2)(y+3)=(x+1)(y-1) {(x+1)(y+1)=(x-1)(y+5)

{(x-2)(y+3)=(x+1)(y-1){(x+1)(y+1)=(x-1)(y+5){xy+3x-2y-6=xy-x+y-1{xy+x+y+1=xy+5x-y-5{4x-3y=5(1){4x-2y

解方程组 X+Y/2+X-Y/3=6 4[X+Y]-5[X-Y]=2

先将第一个等式整理得12X+Y=36,第二个等式整理得-X+9Y=2,由第一个等式得Y=36-12X,通过换元法得-X+9(36-12X)=2,解出X=322/109,再把X=322/109代入-X+

y-3x=2,y-5x=4,y-7x=6,y-9x=8,y-11x=0方程组,

最后一个应该是:y-11x=10吧这样解就是X=-1,Y=-1否则无解

解方程组 {3(x+y)-4(x-y)=11 {2(x-y)+5(x+y)=27

化简得:-x+7y=11①7x+3y=27②①式×7得:-7x+49y=77③②+③得:52y=104∴y=2代入①得:x=3∴x=3,y=2

1/2x-2y=-74,x-6y=-12解方程组,x/5-y/2=2,2x+3y=4解方程组

1)1/2x-2y=-74,①x-6y=-12②2①-②得2y=136y=68代入①得x=4202)x/5-y/2=2,化简2x-5y=20①2x+3y=4②①-②得-8y=16y=-2代入①得2x=

解二元一次方程组 x+y=3 1/2(x+y)-3y=5

解将x+y=3代入1/2(x+y)-3y=5∴1/2×3-3y=5∴3y=3/2-5∴3y=-7/2∴y=-7/6∴x=25/6

解方程组(x+y)(x-2y)=-5 (x-y)(x+2y)=7

展开x^2-2y^2-xy=-5x^2-2y^2+xy=7所以x^2-2y^2=1xy=6上式除以下式,解分式方程x/y=3/2或-4/3(舍去)所以x^2=9y^2=4x=3y=2或x=-3y=-2

换元法解方程组3/x+y+2/x-y=17/5 2/x+y-5/x-y=1

设1/x+y=t1/x-y=v则3t+2v=17/52t-5v=16t+4v=34/56t-15v=319v=19/5v=1/5t=11/x+y=11/x-y=1/5x+y=1x-y=5x=3y=-2