方程式X-Y=30 X Y=50

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

x^2+xy+y=14y^2+xy+x=28两式相加x^2+y^2+2xy+x+y=42(x+y)^2+(x+y)-42=0(x+y-6)(x+y+7)=0x+y=6或x+y=-7

Solution:x^2-2xy+3y^2=9(1)4x^2-5xy+6y^2=30(2)Eq(1)*5-Eq(2)*2,wehavex^2-y^2=5(3)Eq(2)-Eq(1),wegetx^2+

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

Y=X-5XY=X²-5X=3X²-5X-3=0X=(5±√37)/2Y=X-5X=(5-√37)/2,Y=(-5-√37)/2X=(5+√37)/2,Y=(-5+√37)/2

你确定没写错题目?后面的式子一约就变成前面的式子了,答案也是8/xy再问：怎么个约法?再答：y/xyyy约掉剩下1/x

（1）∵xy+x=-1①，xy-y=-2②，∴①-②得x+y=1；（2）先把xy+x=-1，xy-y=-2的值代入代数式，得原式=-x-[2y-1+3x]+2[x+4]=-x-2y+1-3x+2x+8

x+2y=61式乘以2.2x+4y=123式2x+y=3k2式.3式减2式得3y=12-3k即y=4-k带入2式得x=2k-2由于x+y

5x²-12xy+10y²-6x-4y+13=0(x²-6x+9)+(y²-4y+4)+(4x²-12xy+9y²)=0(x-3)²

7或者-8再问：求过程^_^再答：两个等式两边相加

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

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

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

由题意得：X＝Y+2.那么Y（Y+2）+Y+2＝20（Y+2）×（Y+1)=20所以y＝3那么x＝5可待入xy+y=18就不对了.（Y+2）×（Y+1)=20,Y应该是-6,X是-4,答案就对了.X＝

X²+2xy+y²/xy乘x²-2xy+y²/xy+y²=(x+y)²/xy×(x-y)²/y(x+y)=(x+y)(x-y)&#

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）^

（2）×2得2x+2xy+2y=8∴2x+2xy+2y=3x-y∴x-2xy-3y=0∴（x-3y）（x+y）=0∴x=3y或x=-y下面就是把得到的等式代入1计算会了吧

X+y=3xy=-5X-y=?(x-y)^2=(X+y)^2-4xy=9+20=29则x-y=±根号29

令y=kxx*x+kx*x=k*x+k*k*x*x(1-k*k+k)x^2-kx=0x((1-k*k+k)x-k)=0由上式得X=0或(1-k*k+k)x-k=0解得：k=(x-1+（或-）√（（1-

x+2y+xy=30?x+2y≥2√(x×2y)=2√2√(xy)30=x＋2y＋xy≥2√2√(xy)+xy所以xy+2√2√(xy)-30≤0,令a=√(xy),显然a≥0：a²+(2√