已知方程组{5x 2y=1,(k-1)x 4y}

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已知x+y=-5,xy=7,求x2y+xy2-x-y的值.

x2y+xy2-x-y=xy(x+y)-(x+y)=(x+y)(xy-1)∵x+y=-5,xy=7,∴原式=-5×(7-1)=-30.

已知方程组2x+3y=k,3x+5y=k+1的解的和是-12,求k的值

2x+3y=k1式3x+5y=k+12式1式乘以3,得6x+9y=3k3式2式乘以2,得6x+10y=2k+24式4式减去3式,得y=2-k将y=2-k代入1式,得x=(k-3y)/2=(k-6+3k

已知方程组2x+3y=k,3x+5y=k+1的解的和是﹣12,求k的值·.

2x+3y=k①3x+5y=k+1②①x3,得6x+9y=3k③②x2,得6x+10y=2k+2④④-③,得y=2-k将y=2-k带入①,得2x+3(2-k)=k2x+6-3k=k2x=4k-6x=2

已知方程组2x+3y=k 3x+5y=k+1的解的和是-12,求(k+10)^2009的值

2x+3y=k(1)3x+5y=k+1(2)(1)*2-(2)4x+6y-3x-5y=2k-k-1x+y=k-1解的和是-12x+y=-12所以k-1=-12k=-11k+10=-1所以(k+1)^2

已知x-y=1,求代数式x4-xy3-x3y-3x2y+3xy2+y4.

原式=(x4-xy3)+(y4-x3y)+(3xy2-3x2y)=x(x3-y3)+y(y3-x3)+3xy(y-x)=(x3-y3)(x-y)-3xy(x-y)=(x-y)(x3-y3-3xy)=(

已知方程组{5x+2y=1 {(K一1)x+Ky=3的解

由题意得x+y=-1,则x=-1-y,代入5x+2y=1,得5(-1-y)+2y=1,解得y=-2代入x=-1-y,得x=1则x=1,y=-2代入(k-1)x+ky=3,得k-1-2k=3解得k=-4

已知方程组:1,2X+3Y=K 2,3X+5Y=K+1的解的和是-12,求K的值

2x+3y=k3x+5y=k+1的解的和是-12,求k的值.6x+9y=3k6x+10y=2k+2y=2-kx=2k-32-k+2k-3=-12k=-11

已知A=x3+3x2y-5xy2+6y3-1,B=y3+2xy2+x2y-2x3+2,C=x3-4x2y+3xy2-7y

A+B+C=(x3+3x2y-5xy2+6y3-1)+(y3+2xy2+x2y-2x3+2)+(x3-4x2y+3xy2-7y3+1)=(1+1-2)x3+(3+1-4)x2y+(-5+2+3)xy2

已知方程组x+8y=-7k 8x+y=1-2k的解满足x-y大于-5,求k的取值范围

x+8y=-7k8x+y=1-2k下面式子减去上面式子得:7x-7y=1+5kx-y=(1+5k)/7所以(1+5k)/7>-5k>-36/5

4x2y-{x2y-「3xy2 – 1/ 2(4x2y-8xy2)+x2y」}-5xy2

答案:2x^2y+2xy^2原式=4x2y-{x2y-[3xy2-2x2y+4xy2+x2y]}-5xy2=4x2y-{x2y-[7xy2-x2y]}-5xy2=4x2y-{x2y-7xy+x2y]}

已知(x-2)2+|y+1|=0,求5xy2-[2x2y-(3xy2-2x2y)]的值.

原式=5xy2-2x2y+3xy2-2x2y=8xy2-4x2y,∵(x-2)2+|y+1|=0,∴x-2=0,y+1=0,即x=2,y=-1,则原式=16+16=32.

当x=-1,y=1时求代数式2x2y-(5xy2-3x2y)-x2的值

代入x=-1,y=1,2x^y-(5xy^-3x^y)-x^=2*(-1)^*1-{5*(-1)*1^-3*(-1)^*1}-(-1)^=2-(-5-3)-1=9备注:2^表示2的平方

已知方程组{(2K-1)X-(K+1)Y=3K,(4K-1)X-(3K+1)Y=5K+4.求满足XY>-1的K的取值范围

因为方程组(2K-1)X-(K+1)Y=3K和(4K-1)X-(3K+1)Y=5K+4.所以(4K-1)(2K-1)X-(4K-1)(K+1)Y=3K(4K-1)和(2K-1)(4K-1)X-(2K-

关于x,y的方程组 3x+2y=m+1,4x2y=m-1求y,x

如果x,y符号相反,绝对值相等,即y=-x,代入原方程组,得3x-2x=m+1,4x-2x=m-1,即x=m+1,2x=m-1解之,2(m+1)=m-1,得m=-3如果x比y大1,即x=y+1,代入原

已知A=8x2y-6xy2-3xy,B=7xy2-2xy+5x2y,若A+B-3C=0,求C-A.

由题意得:3C=A+B=8x2y-6xy2-3xy+7xy2-2xy+5x2y=13x2y+xy2-5xy,∴C=13x2y+xy2−5xy3,故:C-A=13x2y+xy2−5xy3-(8x2y-6

解非线性方程组已知某非线性方程组如下:ff(1)=(3-5*x(1))*x(1)+1-2*x(2)=0for k=2:9

functionhhX0=[0.0079-0.0386-0.08640.0466-0.0166-0.11710.0661-0.0327-0.19100.0831];[X,FVAL,EXITFLAG]=

已知xn=5,yn=3,求:(1)(x2y)2n;(2)x3n÷y4n.

(1)∵xn=5,yn=3,∴(x2y)2n=x4ny2n=(xn)4(yn)2=54×32=5625;(2)∵xn=5,yn=3,∴x3n÷y4n=(xn)3÷(yn)4=53÷34=12581.

已知x+2y=5,xy=1.则2x2y+4xy2=______.

∵x+2y=5,xy=1,∴2x2y+4xy2=2xy(x+2y)=2×1×5=10,故答案为:10.