10X+5Y+Z=70 X+Y+Z=1510X+5Y+Z=70 X+Y+Z=15
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10X+5Y+Z=70 X+Y+Z=1510X+5Y+Z=70 X+Y+Z=15
10X+5Y+Z=70 X+Y+Z=15
10X+5Y+Z=70
X+Y+Z=15
10X+5Y+Z=70 X+Y+Z=1510X+5Y+Z=70 X+Y+Z=15
两式相加10X+5Y+Z+X+Y+Z=70+15
11X+6Y+2Z=85
两式相减(10X+5Y+Z)-(X+Y+Z)=70-15
9X+4Y=65
所得两式相减(11X+6Y+2Z)-(9X+4Y)=85-65
2X+2Y=20
X+Y=10
代入X+Y+Z=15,所以Z=5
把Z=5代入10X+5Y+Z=70,得10X+5Y+5=70,10X+5Y=65
由X+Y=10, 得5X+5Y=50
10X+5Y=65,5X+5Y=50两式相减得5X=15,X=3
X+Y=10,Y=7
所以X=3,Y=7,Z=5
楼上不对啊,
题目首先不一样,
而且题目里没有规定一定要是整数,
而且正负也没有规定,那里来的范围啊?!
依题意:x+y+z=15
x+5y+10z=70
消去x得到:4y+9z=55........(*)
从而9z=55-4y≤55,
所以0≤z≤6
将z=0,1,2,3,4,5,6分别带入(*)式,得到y的整数解为
y=7,此时z=3,所以x=15-y-z=5
10X+5Y+Z=70
X+Y+Z=15
此为不定方程
若X,Y,Z为正整数
可由前一个式子减后一个式子,可得
9X+4Y=55
解之,得
X=3,Y=7,Z=5
x+y+z=15 x+5y+10z=70 x,y,z,各是几?
x+y+z=15 x+5y+10z=70 x,y,z,各是几?
X+Y-Z=15 X+5Y+10Z=70 求:X、Y、Z
X+Y+Z=15 X+5Y+10Z=70,Y.Z的值
X+Y+Z=15 X+5Y+10Z=70求X,Y和Z
方程组X+Y+Z=15,X+5Y+10Z=70求X,Y,Z
X+Y+Z=15 X+5Y+10Z=70求X,Y和Z
方程组X+Y+Z=15,X+5Y+10Z=70求X,Y,Z
10X+5Y+Z=70 X+Y+Z=1510X+5Y+Z=70 X+Y+Z=15
x+y+z=15 x+5y+10z=70 如何算
急 方程组 x+y+z=15 x+5y+10z=70
(x+y-z)(x-y+z)=
(4x-2y-z)-{5x-[8y-2z-(x-2y)]-x-(3y-10z)}=?
X+Y+Z=?
x/y=(x+z)/(y+z)y/z=(x+y)/(x+z)
x+2y+3z=23 y-z=5 x+2z=10
已知 x/(y+z)+y/(z+x)+z/(x+y)=1求 (x*x)/(y+z)+(y*y)/(x+z)+(z*z)/(x+y)=?
(4x-2y-z)-{5x-[8y-2z-(x+y)]-2(3y-10z)}=?好难啊