已知方程组x-3y+2z=0 2x+y-4z=0 求x比y比z

问题描述:

已知方程组x-3y+2z=0 2x+y-4z=0 求x比y比z

10:8:7

x-3y+2z=0 ①
2x+y-4z=0 ②
①*2-②得:-7 y+8z=0
Y=(8 z )/7
①+②*3得:7x-10z=0
X=(10z)/7
∴x:y:z=(10z)/7:(8 z )/7:z
=10:8:7