若3x+2y=0,則代數式2x+3y/2x-3y的值為.

若3x+2y=0,則代數式2x+3y/2x-3y的值為.

3x+2y=0
即,y=-3x/2
那麼,
(2x+3y)/(2x-3y)
=(2x - 9x/2)/(2x + 9x/2)
=(-5/2)/(13/2)
=-5/13
有不懂歡迎追問

若2x+3y=2004,則代數式2(3x-2y)-(x-y)+(-x+9y)=…

2(3x-2y)-(x-y)+(-x+9y)=展開得4x+6y=2(2x+3y)=2004*2=4008

若3X+2Y=0(XY≠0)則代數式2X+3Y/2X-3Y= 若3X+2Y=0,則代數式2X+3Y/2X-3Y=?(XY不等於0)

若3X+2Y=0,則代數式2X+3Y/2X-3Y=?(XY不等於0)---------------------------------------------用換元法計算,簡單,不容易錯3x+2y=03x=-2y可以設3x=-2y=6k那麼x=2k,y=-3k代入2X+3Y/2X-3Y,有2X+3Y/2X-3Y=(4k-9k)/(4k+9k…

當x=5,y=3時,求代數式2x-3y/3x-2y

當x=5,y=3時,
原式=[2×5-3×3]/[3×5-2×3]
=[10-9]/[15-6]
=1/9

若2x+3y=2010,則代數式2(3x-2y)-(x-y)+(-x+9y)=()

2(3x-2y)-(x-y)+(-x+9y)
=6x-4y-x+y-x+9y
=4x+6y
=2(2x+3y)
=2*2010
=4020

如果代數式3x-8y的值為2010,那麼代數式2(x+6y)-(x-y)-4-4y的值為_____

< 2(x+6y)-(x-y)-4-4y=2x+12y-x+y-4-4y=(2x-x)+(12y+y-4y)-4=x+9y-4>(我上網搜了一下題目,應該是2(x+6y)-8(x-y)-4-4y,少了個'8'吧)那麼說的話,此題應為:2(x+6y)-8(x-y)-4-4y=2x+ 12y-8x+8y-4-4y=(2x-8x…

已知3x-y=1求代數式[(x^2+y^2)-(x-y)^2+2y(2x-y)]/4y的值

原式=(x²+y²-x²+2xy-y²+4xy-2y²)/(4y)
=(6xy-2y²)/4y
=(3x-y)/2
=1/2

如果x-2與-3x+8互為相反數,則x=______.

x-2與-3x+8互為相反數,
x-2+(-3x+8)=0,
解得x=3,
故答案為:3.

若10^x=3,10^y=2求代數式10^3x+4y的值

10^3x+4y
=(10^x)^3*(10^y)^4
=3^3*2^4
=27×16
=432
祝學習進步

2x+3y=2012,則代數式2(3x-2y)-(x-y)+(-x+9y)=(?)

2(3x-2y)-(x-y)+(-x+9y)
=6x-4y-x+y-x+9y
=4x+6y
=2(2x+3y)
=2×2012
=4024