X+2Y-9Z=0,X-2Y-5Z=0(X,Y,Z不等于0) x:y
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X+2Y-9Z=0,X-2Y-5Z=0(X,Y,Z不等于0)x:yX+2Y-9Z=0,X-2Y-5Z=0(X,Y,Z不等于0)x:yX+2Y-9Z=0,X-2Y-5Z=0(X,Y,Z不等于0)x:y将
X+2Y-9Z=0,X-2Y-5Z=0(X,Y,Z不等于0) x:y
X+2Y-9Z=0,X-2Y-5Z=0(X,Y,Z不等于0) x:y
X+2Y-9Z=0,X-2Y-5Z=0(X,Y,Z不等于0) x:y
将Z看成常数,解下列方程组,
X+2Y-9Z=0,
X-2Y-5Z=0;
得:
X=7Z;
Y=Z.
所以
X:Y=7:1
将Z看成常数,解下列方程组,
X+2Y-9Z=0,
X-2Y-5Z=0;
得:
X=7Z;
Y=Z.
所以
X:Y=7:1
只需用两个等式消去Z变量即可。由两式得到:(X+2Y)/9=Z=(X-2Y)/5,进而得到28Y/45=4X/45;从而轻易得到:x:y=28/4=7
上式乘以5,下式乘以9,将z消掉,得x=7y,x:y=7:1
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