方程组3x 2y=2k,2y-x=3的解满足x1
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(3x2y-2xy2)-(xy2-2x2y)=3x2y-2xy2-xy2+2x2y=5x2y-3xy2当x=-1,y=2时,原式=5×(-1)2×2-3×(-1)×22=10+12=22.
1.用代入法:2x+3y=k3x-4y=k+11由x+y=3知x=3-y,代入上面两个式子中,得6-2y+3y=k得到y=k-6代入下面式子中9-3y-4y=k+11得9-7k+42=k+11得k=5
由题意得,X=﹣Y①把①代入2x+3y=2k+1得,Y=2K+1②把①代入3X-2Y=4K+3得,﹣5Y=4K+3即Y=﹣4K+3/5③有②③可以得到2K+1=-4K+3/5即10K+5=﹣4K-3解
原式=2x2y+2xy-3x2y-3xy-4x2y=-5x2y-xy当x=-2,y=12时,原式=-9.
3x+y=k①x+3y=2②②乘以3,得3x+9y=6③③减去①,得8y=6-ky=(6-k)/8将y=(6-k)/8代入②中,得x+3(6-k)/8=2x=2-3(6-k)/8因为x,y
将y=kx+1带入y=(3k-1)x+2得:kx+1=(3k-1)x+2kx+1=3kx-x+2(2k-1)x=-1则当2k-1≠0,即k≠1/2时,方程组有唯一解当2k-1=0,即k=1/2时,方程
原式=4x2y-6xy+3(4xy-2)+x2y+1=5x2y+6xy-5当x=2,y=-12时,原式=5×4×(-12)+6×2×(-12)-5=-21.
化简得:9-12Y^2+6Y+4+12Y^2+4Y-10-10Y+X-Y+1=X-Y+4带入X、Y值得:=3
3X+5Y=K+2→3X+3Y+2Y=k+2→3(X+Y)+2Y=K+2因为X+Y=2所以3·2+2Y=K+2→6+2Y=K+2→4+2Y=K①2X+3Y=K→2X+2Y+Y=K→2(X+Y)+Y=K
(X+Y)2=1402X2Y*3=14400(X+Y)2=140→X+Y=70→Y=70-X①2X2Y*3=14400→XY=1200②把①代人②得:X(70-X)=1200X²-70X+1
k=3x+2y-1代入方程二得出x=-2-y把k.x等式代入方程二得出y=0k=-7x=-2
(1)k=5/8①*5-②得12k=-4k+10k=5/10(2)a=-12ax+4y=1212x-4y=4(12+a)x=16当a=-12时方程无实数解(3)3x+5y=m+2①2x+3y=m②②*
x2y+xy2=xy*(x+y)因为x+y=-(7+xy)又x+y=(9+2xy)\3所以(9+2xy)\3=-(7+xy)3+2xy\3=-7-xy5xy\3=-10解得xy=-6所以x+y=-(7
K平方X-2Y=3K(1)2X-Y=3(2)(1)-(2)*2得(K²-4)x=3k-6原方程组无解,则K²-4=0且3k-6不等于0所以K=-2
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
原式=2x2y+2xy-3x2y+3xy-4x2y=-5x2y+5xy,当x=-1,y=1时,原式=-5×(-1)2×1+5×(-1)×1=-5-5=-10.
由x+2y=7k得3x+6y=21k(整体乘以3)由(3x+6y)-(3x-5y)=21k-(-k)得y=2k由x+2y=7k得x=3k因为x+y=5所以3k+2k=5所以k=1
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
2x-y=3k.(1)x+2y=k+2.(2)x,y互为相反数x+y=0y=-x代入(1)得3x=3kx=k代入(2)得x-2x=x+2-2x=2x=-1k=x=-1y=-x=1解得x=-1y=1k=