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
答
10:8:7
答
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