{x y=6 3x-y 2z=12 x-y-3z=-4 解这个三元一次方程组

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已知x-xy=8,xy-y=-9,求x+y-2xy的值

x-xy=8(1)xy-y=-9(2)则有(1)-(2):X-XY-XY+Y=X+Y-2XY=8-(-9)=17

.先化简,后计算.[2x(x²y-xy²)+xy(xy-x²)]/x²yx=20

[2x(x²y-xy²)+xy(xy-x²)]/x²y=[2x^3y-2x^2y^2+x^2y^2-x^3y]/x²y=x-y=4

已知x,y是实数,且适合方程(xx+xy-12)(xx+xy-12)+(xy-2yy-1)(xy-2yy-1)=0求x,

(x²+xy-12)²+(xy-2y²-1)²=0由于平方数都大于或等于0,所以上式成立的前提是:(x²+xy-12)²=0,即:x&sup

设xy>0,且xy=4x+y+12,求xy的最小值

xy-12=4x+y≥2√(4xy)=4√(xy)xy-4√(xy)-12≥0(√(xy)-6)(√(xy)+2)≥0√(xy)≤-2,√(xy)≥6因为√(xy)≥0所以√(xy)≥6xy≥36所以

(-3x^y+2xy)-( )=4x^+xy

(-3x^y+2xy)-(4x^+xy)=-3x^y+2xy-4x^-xy=-3x^y+xy-4x^所以填上-3x^y+xy-4x^

若x>1,y>0且满足xy=xy,xy=x

由题设可知y=xy-1,∴x=yx3y=x4y-1,∴4y-1=1,故y=12,∴12x=x,解得x=4,于是x+y=4+12=92.故答案为:92.

x,y都是自然数,且x(x-y)-y(y-x)=12,求x+y-xy的值

x(x-y)-y(y-x)=12那么:化简得:(x+y)*(x—y)=12x、y是自然数,所以x1=2,y1=4x2=4,y2=2所以x+y-xy=-2

计算.3x平方+{2X平方-3X}-{-X+5X的平方} 其中X=314 {5XY-8X平方}-{-12X平方+4XY}

3x²+2x²-3x-(-x+5x²)=3x²+2x²-3x+x-5x²=-2x其中x=314时,-2x=-2*314=-6285xy-8x

已知x:y=3:2,求(x²+3xy)/(xy+2xy)

答案是3/2你是不是把分母打错了教你个方法因为上下是齐次的直接令x=3y=2带入就行

xy=-2,x+y=3,求代数式(4xy+12y)+[7x-(3xy+4y-x)]

(4xy+12y)+[7x-(3xy+4y-x)]=4xy+12y+7x-3xy-4y+x=xy+8x+8y=xy+8(x+y)=(-2)+8*3=-2+24=22

由已知x+y=-2,xy=3那么2(x+xy)-[(xy-3y)-x]-(-xy)等于多少?

2(x+xy)-[(xy-3y)-x]-(-xy)=2x+2xy-xy+3y+x+xy=3x+3y+2xy=3(x+y)+2xy=3*(-2)+2*3=0

化简:xy分之3x^2+2xy-xy分之2x^2-xy=

(3x^2+2xy)/xy-(2x^2-xy)/xy=(3x^2+2xy-2x^2+xy)/xy=(x^2+3xy)/xy=x(x+3y)/xy=(x+3y)/y

已知x-y=4xy,则2x+3xy-2yx-2xy-y

∵x-y=4xy,∴2x+3xy-2yx-2xy-y=2(x-y)+3xyx-y-2xy=8xy+3xy4xy-2xy=112.故答案为:112.

多元函数极限lim sin(xy)/x (x.y) -> (0.2) = lim {[sin(xy) / xy ] *

limsin(xy)/x(x.y)->(0.2)=lim{[sin(xy)/xy]*y}=im[sin(xy)/xy]*(limy)(x.y)->(0.2)=1*2=2这里把(xy)看作一个整体,当(

已知xy>0,证明xy+xy/1+x/y+y/x>=4

xy+1/xy>=2√(xy*1/xy)=2(当xy=1/xy即xy=1时取等号)x/y+y/x>=2√(x/y*y/x)=2(当x/y=y/x即x=y取等号)当x=y=1时可以同时满足两项的等号要求

x²+xy=12 xy+y²=13

两式相加得到x+y=5,相减得y-x=1/5,故x=12/5,y=13/5xy=156/25,因为要求的都是正数,而且xy同正负,所以只考虑x,y正数即可故x²+y²=(x+y)^

已知x²-7xy+12y²=0求x²-xy+y²/2xy的值

x²-7xy+12y²=0(x-3y)(x-4y)=0x1=3yx2=4yx=3y时原式=9y²-3y²+y²/6y²=7/6x=4y时原式

解方程组xy+x=16&xy-x=8

由xy+x=16,得x=16/(y+1)代入xy-x=8,得16y/(y+1)-16/(y+1)=8=>16(y-1)/(y+1)=8=>(y-1)/(y+1)=1/2移项,通分得y-3/2(y+1)

已知(8x^2-4x)/2xy=(4x-2)/① 12x^3/(6x^2+3xy)=②/(2x+y)

8x^2-4x→4x-2说明分子同除以2x则分母也同除以2x则①=2xy/2x=y同理6x^2+3xy→(2x+y)分母同除以3x,则分子也同除以3x②=12x^3/3x=4x^2而①、②成反比则设y