已知2X+3X-4Y=0 3X+4Y+5Z=0 求x-y+z分之x+y+z的值
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|2-x|+|x-y+4|=02-x=0,x-y+4=0x=2,2-y+4=0,y=63(x-y)-5(x-y)^2-3(x-y)+(y-x)^2+4(x+y)^2+3(y-x)=-4(x-y)^2+
无解,题目错了
先根据约束条件画出可行域,而z=x2+y2,表示可行域内点到原点距离的平方,点P在平面区域里运动时,点P跑到点C时OP最大.∵x−2y+4=03x−y−3=0⇒x=2y=3所以:当在点C(2,3)时,
根号(x+y-8)+根号(8-x-y)=根号(3x-y-4)+根号(x-2y+7),根据二次根式有意义得:X+Y-8≥0,8-X-Y≥0,∴X+Y≥8,X+Y≤8,∴X+Y=8,左边为0,右边两个非负
4x-2y=0→y=2x,把所有的y都用2x替代.结果是-1/7
2(x+2y)=x²+y²+5整理得(x-1)^2+(y-2)^2=0x=1,y=2(x²+y²)/(3x-4y)=-1
2x-y/x+3y=2得x+3y/2x-y=1/24x-2y/x+3y减4x+12y除以2x-y=2(2x-y)/x+3y-4(x+3y)/2x-y=2乘以2-4乖以1/2=4-2=2
3x-4y/2x+y=1/26x-8y=2x+y4x=9yx/y=9/4
y=4x/5所以原式=(3x+4x/5)/(x-8x/5)=(19x/5)/(-3x/5)=-19/3
答案是2.4x-2y/x+3y=(2x-y/x+3y)乘以2=4,4x+12y/2x-y=(x+3y/2x-y)乘以4=1/2x4=2,所以代数式等于4-2=2.
X+Y分之X-Y等于3x=-2yX+Y分之2(x-y)减X+Y分之3X+Y=(-x-3y)/(x+y)=1
3x+4y=2可知x=(2-4y)/3y=(2-3x)/4分别代入x-y5/7x
因为(x-y)/(x+y)=3,则(x+y)/(x-y)=1/3则5(x-y)(x+y)-(x+y)/2(x-y)=5*3-1/(3*2)=15-1/6=89/6
x-(x+y)+(x+2Y)-(x+3y)+(x+4y)...-(x+2009y)=-y+2y-3y+4y+...-2007y+2008y-2009y=1004y-2009y=-1005y=-1005
3x^2+xy-2y^2=0推出(3x-2y)(x+y)=0推出x=-y或x=(2/3)y{(x+y)/(x-y)+4xy/(y^2-x^2)}/{(x+3y)*(x-y)}/x^2-9y^2推出:{
x+y/2x=4/3那么有3(x+y)=8x所以3y=5xx/y=3x/3y=3x/5x=3/5
x-2y/2x+3y=3/44(x-2y)=3(2x+3y)4x-8y=6x+9y-2x=17yx/y=-17/2
3X+4Y=23X=2-4YX=(2-4Y)/3X-Y-1/7D
x/y=3/2则2x=3y带进去就变成6y-9y/(3y+3y)=-1/2y感觉怪怪的.一般都是转换下形式然后带进去这题怎么没一般项--或者直接将x=3y=2带进去
原式=x-x+x-x+……-x+(2-1+4-3+5-4+……+2008-2007-2009)y=0+(1×1004-2009)y=-1005y=1005/2