解方程组2x-2y=1-3y,x 2-y=4

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 07:58:01
数学书解方程组{2(x+y)-(x-y)=3,(x+y)-2(x-y)=1

两式相加3(x+y)-3(x-y)=46y=4xy=2/32x+2y-x+y=3x+3y=3x=3-3y=3-2=1

解方程组{x/3+(y-x)/2=2 y-1/2=x-6

第一个方程同乘以6,得3y-x=12用方程一减方程二,得2y=35/2,解得y=35/4带入第二个方程得x=23

解方程组 y²-3x²+x+1=0 2x-y=1

楼主自己把第二个代入第一个慢慢算吧,默默飘走.

解方程组:x-二分之3x-1=2y,x:2=y:3

x-2/3x-1=2y3x=2y则,1/3x-1=2y而2y=3x.则,1/3x-1=3x5/3x=-1x=-3/5y=-3/5*3÷2=-9/10题目好像不太清楚

解二元一次方程组:3(x+y)-4(x-y)=4,x+y/2+x-y/6+1

3(x+y)-4(x-y)=4,①x+y/2+x-y/6=1,则3(x+y)+(x-y)=6②②-①,得5(x-y)=2,解得x-y=2/5③代入②,得x+y=28/15④③+④,得2x=34/15,

2(x+y)-3(x-y)=1 6(x+y)+7(x-y)=51 解方程组

(用换元法)设A=x+y,B=x-y原方程组可化为2A-3B=1,6A+7B=51解得A=5,B=3即x+y=5,x-y=3解得x=4,y=1

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

解方程组:(x+3)(y-2)=(x-3)(y+10),(x+1)(y+3)=(x-2)(y+12)

.死算呗xy-2x+3y-6=xy+10x-3y-30,2x-y=4xy+3x+y+3=xy+12x-2y-24,3x-y=92式减1式,x=5,y=6

解二元一次方程组{3(x+y)-(x-y)=4,x+y/2+x-y/6=1

原方程组变形得:①3﹙x+y﹚-﹙x-y﹚=4②3﹙x+y﹚+﹙x-y﹚=6∴①+②得:③x+y=10/3②-①得:④x-y=1∴③+④得:x=13/6③-④得:y=7/6∴x=13/6,y=7/6.

2+3x/5+4y=9,4+6y-y=1解方程组

由(2+3x)/(5+4y)=9得,2+3x=45+36y,即3x-36y=43由4+6y-y=1得,5y=-3,y=-3/5把y=-3/5代入3x-36y=43中得,x=107/15∴x=107/5

解方程组:2(x-y)/3-x+y/4=-1 ,6(x+y)-4(2x-y)=16

2(x-y)/3-x+y/4=-1(1)6(x+y)-4(2x-y)=16(2)(1)方程两边同乘以12得8(x-y)-3(x+y)=-12合并同类项得5x-11y+12=0(3)(2)合并同类项得1

解方程组:根号(x+1/y)+根号(x+y-3)=3 2x+y+1/y=8

2x+y+1/y=8这个式子重新写下,写成这样就好看了x+1/y+x+y-3=5然后再假设根号(x+1/y)=m根号(x+y-3)=n那么m+n=3m*m+n*n=5解方程组有两组答案第一组m=1n=

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﹛2(x+y)-3(x-y)=1 6(x+y)+7(x-y)=51

因为2(x+y)-3(x-y)=1所以2x+2y-3x+3y=1-x+5y=1x=5y-1因为6(x+y)+7(x-y)=51所以6x+6y+7x-7y=5113x-y=51将x=5y-1代入13x-

解方程组{ 3x-4y(x-y)=3 { 2x-3y=1

{3x-4y(x-y)=3,2x-3y=12x-3y=1,得x-y=(1+y)/23x-4y(x-y)=3,代入x-y=(1+y)/2,得3x-2y(1+y)=33x-2y-2y²=34y+

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{3(x+y)-4(x-y)=4,x+y/2+x-y/6=1

3(x+y)-4(x-y)=43x+3y-4x+4y=4x-7y=-4(1)x+y/2+x-y/6=13x+3y+x-y=62x+y=3(2)(1)+(2)×715x=17所以x=17/15y=3-2

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:解方程组:|X+Y|=1|X|+2|Y|=3

可能是0<X0=X0≤X≤1X>1当0<X时,|X+Y|=1原式=Y-X=1Y=1+X|X|+2|Y|=3变2(1+X)-X=3X=1所以Y=0当0=X时Y无解,不成立.当0≤X≤1时X+Y=1X+2

解方程组3(x+y)-4(x-y)=4和(x+y)/2+(x-y)/6=1

(x+y)/2+(x-y)/6=1x/2+x/6+y/2-y/6=12x/3+y/3=12x+y=3(1)3(x+y)-4(x-y)=43x+3y-4x+4y=4-x+7y=4(2)(1)+2*(2)