2x-3y-2=0(2x-3y+5)/7+2y=9 x= y=

2x-3y-2=0(2x-3y+5)/7+2y=9 x= y=


2x-3y=2
代入得
7/7+2y=9x
1+2y=9x
即2x-3y=2
9x-2y=1
解得x=7/31
y=-16/31



已知A=2x-3y,B=x-2y+1,且x-y=2,求A-B的值


A-B
=(2x-3y)-(x-2y+1)
=2x-3y-x+2y-1
=x-y-1
=2-1
=1



加减消元法解方程{4x+3y=7{2x-5y=5
{2x-3y=5


2x-5y=5②②*2 4x-10y=10
4x+3y=7
下式减上式,得13y=-3 y= -3/13
代入②,得x=25/13



已知x /3=y /4=z /5,則x+y / x-2y+3z的值為?


x /3=y /4=z /5=k,
x=3k,y=4k,z=5k,
(x+y)/(x-2y+3z)
=(3k+4k)/(3k-8k+15k)
=(7k)/(10k)
=7/10.



已知3分之x等於4分之y等於5分之z,求x-2y+3z分之x+y的值?


x/3=y/4=z/5
分開即可得到x/3=y/4和y/4=z/5
x/3=y/4兩邊同時乘以倍數12,即可得到4x=3y
所以x=3/4y
同理
y/4=z/5兩邊同時乘以相同倍數20,即可得到5y=4z
所以y=4/5z
因為x=3/4y,y=4/5z
所以x=3/5z
x+y/x-2y=3z=(3/5z+4/5z)/(3/5z-8/5z+3z)
化簡消元得出答案為7/10



X:Y=4:7 X:Z=3:5 X-2Y+3Z=30如題


由X:Y=4:7 X:Z=3:5 X-2Y+3Z=30得X=4/7Y Z=5/3Y將X=4/7Y,Z=5/3Y代入X-2Y+3Z=30得4/7Y-2Y+3×5/3Y=30,解得Y=8.4將Y=8.4代入X=4/7Y,Z=5/3Y解得X=4.8,Z=14



已知x+2y3=y+3z4=z+5x5,則x:y:z=______.


原方程組化為:x+2y3=y+3z4x+2y3=z+5x5整理得:4x+5y=9z①10x−10y=3z②①×2+②得:18x=21z,x=76z,①×5-②×2得:45y=39z,y=1315,x:y:z=76z:1315z:z=35:26:30,故答案為:35:26:30.



已知x+2y3=y+3z4=z+5x5,則x:y:z=______.


原方程組化為:x+2y3=y+3z4x+2y3=z+5x5整理得:4x+5y=9z①10x−10y=3z②①×2+②得:18x=21z,x=76z,①×5-②×2得:45y=39z,y=1315,x:y:z=76z:1315z:z=35:26:30,故答案為:35:26:30.



計算1-(x-2y/x+2y)/(x^2-y^2/4xy-x^2-4y^2)


1-[(x-2y)/(x+2y)] * [(x+y)(x-y)]/-[(x-2y)^2]
=1+(x^2-y^2)/(x^2-4y^2)



計算(x+2y)(x-2y)(x^2-4y^2)其中x=5/3 y=2/3


(x+2y)(x-2y)(x^2-4y^2)
=(x+2y)(x-2y)(x+2y)(x-2y)
=[(x+2y)(x-2y)]²;
x=5/3 y=2/3
x+2y=5/3+4/3=9/3=3
x-2y=5/3-4/3=1/3
(x+2y)(x-2y)=3×1/3=1
代入得
=1²;
=1