X/2=Y/3=Z/4 2X-Y+3Z=26 2元1次方程

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X/2=Y/3=Z/42X-Y+3Z=262元1次方程X/2=Y/3=Z/42X-Y+3Z=262元1次方程X/2=Y/3=Z/42X-Y+3Z=262元1次方程X/2=Y/3=Z/4=KX=2K,Y

X/2=Y/3=Z/4 2X-Y+3Z=26 2元1次方程
X/2=Y/3=Z/4 2X-Y+3Z=26 2元1次方程

X/2=Y/3=Z/4 2X-Y+3Z=26 2元1次方程
X/2=Y/3=Z/4=K
X=2K,Y=3K,Z=4K
∵2X-Y+3Z=26
把上面三个式子带入,得:
4K-3K+12K=26
13K=26
K=2
∴X=4,Y=6,Z=8

x/2x12=3/yx12=z/4x12 得到X=2Y/3 Z=4Y/3 带进2X-Y+3Z=26中 算出Y=6
继而算出X=4 Z=8