已知方程组x+y=m-2,2x-y=m-3的解满足x+2y=3,求m的值
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3x+2y=m+12x+y=m-1x=m-3y=5-mx>ym-3>5-mm>4所以,当m>4时x>y
1、把m当成常数,解的x=12m/13,y=5m/13.所以:x:y=12:5.2、二式相加,得到(m+3)x=10.x=10/(m+3),y=5/(m+3).解为整数,且m为正整数.所以,m=2.m
3x+2y=m+1(1)4x+3y=m-1(2)(1)×7-(2)×521x+14y-20x-15y=7m+7-5m+5x-y=2m+12x
3x+2y=m+1①2x+y=m-1②,由②×2-①得,x=m-3;把x=m-3代入②得,y=-m+5,∵x>y,∴m-3>-m+5,解得m>4,∴m的最小整数值是5.
3x+2y=m+1(1)2x+y=m-2(2)(1)*3-(2)*59x+6y-10x-5=3m+3-5m+10-x+y=-2m+13x-y=2m-13x>y则x-y>0,2m-13>0m>13/2
由方程组{X+Y=5m,X-Y=9m解得{X=7mY=-2m∵2X+3Y=6∴14m+(-6m)=68m=6m=¾
x+2y=1(1)x-2y=m(2)(1)+(2)得:2x=1+mx=(1+m)/2>11+m>2得:m>1(1)-(2)得:4y=1-my=(1-m)/4>=-11-m>=-4-m>=-5得:m
先算出x=(3+m)/3,y=-2m/3带入x+y
解方程组3x+2y=m+12x+y=m-1得:x=m-3y=5-m因为:x>y所以,m-3>5-m2m>8m>4当m>4时,x>y
2X+Y=1-MX+2Y=2两式相加3x+3y=1-m+2=>3(x+y)=3-mx+y>03-m>0m
3x+2y=m+1(1)2x+y=m-1(2)(1)-(2)×2得:-x=m+1-2m+2;x=m-3;带入(2)得:2m-6+y=m-1;y=5-m;m-3>5-m;2m>8;m>4;2x=2m-6
x的值比y的值小5y-x=5x-y=-5x-y=9m=-5m=-5/9x+2y=3m(1)x-y=9m(2)(1)*5+(2)*45(x+2y)+4(x-y)=5*3m+4*9m9x+6y=51m3x
根据方程组,很容易解得x=7-my=2m-5由于x,y都大于0所以7-m>0且2m-5>0解得2.5
解方程X=(6+M)/3Y=2M/3-2因为x>0y-6m
x+y=5m----(1)x-y=9m-------(2)(1)+(2),2x=14m.(1)-(2):y=-2m2x-3y=14m+6m=9,m=9/20
2x+y=m+6(1)x+2y=2m(2)(1)+(2)得3x+3y=3m+6方程两边都除以3得,x+y=m+2因为x+y>0所以m+2>0所以,移向得m>-2
4x+y=3m(1)2x-2y=9m(2)(1)-2*(2)的y=-3m(3)由(1)得x=3/2m(4)把(3)(4)带入式子x+y+m/3x-2y得-1/21
3(1,4)和0(2,2)
1、消元求y=(5m-28)/5,x=(10m+29)/5;根据题意:(5m-28)/5>=0,得:m>=28/5,(10m+29)/5>=0,得:m>=-2.9;所以,m的取值范围为:m>=28/5
1.X=(1+M)/2Y=(1-M)/42.M大于1小于等于5