已知方程组2x 3y=4k-1 3x 2y=k 1的解满足条件x>y
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x+2y=4k(1)2x+y=2k+1(2)(2)-(1)x-y=-2k+1所以-1
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
x3y+2x2y2+xy3=xy(x2+2xy+y2)=xy(x+y)2,∵x+y=5,∴(x+y)2=25,x2+y2+2xy=25,∵x2+y2=13,∴xy=6,∴xy(x+y)2=6×25=1
有两方程式得x=2/3y=2k-1/3因为0
由X=Y得7X=6-K又K=2X代入上式得7X=6-2X即5X=6,X=5/6K=2X=5/3
2x+3y=k3x-4y=k+1解此方程组得:x=(7k+3)/17y=(k-2)/17因为x+y=13所以(7k+3)/17+(k-2)/17=13所以k=27.5
原式=4x29y2•27y364x3•4xy=34x2.故答案为34x2.
等会再问:速度再答:再答:求采纳
x+2y=4k①2X+Y=2K+1②将①+②,可得3x+3y=6k+1化简可得,x+y=2k+1/3∵原方程组的解满足x+y≥0∴2k+1/3≥0解得k≥-1/6∴k的取值范围为k≥-1/6
∵x+y=4,∴(x+y)2=16,∴x2+y2+2xy=16,而x2+y2=14,∴xy=1,∴x3y-2x2y2+xy3=xy(x2-2xy+y2)=14-2=12.
(2x4-4x3y-x2y2)-2(x4-2x3y-y3)+x2y2=2x4-4x3y-x2y2-2x4+4x3y+2y3+x2y2=2y3,因为化简的结果中不含x,所以原式的值与x值无关.
3x+2y=k+14x+3y=k-19x+6y=3k+38x+6y=2k-2相减得x=k+5代入3x+2y=k+1得3(k+5)+2y=k+1所以y=-k-7所以方程组的解是{x=k+5,y=-k-7
3a+b=2+2k(1)a+3k=2-4k(2)2a-3b=7(3)由(3)a=(7+3b)/2由(2)a=2-7k(4)(4)代入(3)2-7k=(7+3b)/24-14k=7+3b3b=-3-14
x+y=4,xy=2后者平方后二式相加再加后者平方
X+2Y=4K(1)2X+Y=2K+1(2)(2)-(1)可以得到:X-Y=1-2K-1
x3y+xy3=xy(x^2+y^2)=(√3-√2)(√3+√2)((√3-√2)^2)+(√3-√2)^2)=1*(3-2√6+2+3+2√6+2)=10
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-
∵x-y=l,xy=2,∴x3y-2x2y2+xy3=xy(x2-2xy+y2)=xy(x-y)2=2×1=2.
a1=a2,b1=-b2,c1=c2a1=a2,b1=b2,c1不等于c2a1不等于a2,b1不等于b2,c1不等于c2
2x+3y=-k+2,①3x-2y=5k+3②2*①+3*②13x=13k+13所以x=k+1代入①y=-kx-y=2k+1=5k=2