若方程组2x-3y=1,ax 2by=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

（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

(1)x=-y代入方程组-3y+2y=m+1.①-4y+2y=m-1.②①*2-②得m=-3(2)y+1=x代入方程3（y+1）+2y=m+1.③4（y+1）+2y=m-1.④③*6-④*5得m=-1

-2=a+b+c(1)20=a-b+c(2)x=3/2和1/3,y相同则x=(3/2+1/3)/2=11/12,y=0所以121a/144+11b/12+c=0121a+132b+12c=0(3)(1

将①带入②式得2(y-2/y-1)=(3/y+2)+12y-4/y-2=(3/y+2)+12y²-5y-7=0(2y-7)(y+1）=0得y1=2/7,y2=－1把y1=2/7,y2=－1代

当x=0时,-1=c当x=-2时,0=4a-2b-1当x=1/2时,0=a/4+b/2-1解得b=3/2a=1方程式为：y=x^2+3x/2-1当x=1时:y=1+3/2-1=3/2

.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

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(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

{(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

x=2,y=0.5

两方程相加,得x+y=1-m/3因为x+y

a不等于4时有唯一解a=4且b不等于6时无解对不?我算出来是这样的

｛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)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

{2x+y=6①{x-3y=1②①减②得x+4y=57y(x-3y)²-(3y-x)³=7y(x-3y)²+(x-3y)³=7y(x-3y)²+(x-

7Y(X-3Y)^2-(3Y-X)^3=7Y(X-3Y)^2+(X-3Y)^3=(X-3Y)^2(7Y+X-3y)=(X-3Y)^2(X+4Y)因为X-3Y=1所以上式=(X-3Y)^2(X+4Y+X

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

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