Question

已知X-2Y+Z=0,3X+Y-2Z=0,求X∶Y∶Z的值

Answer 1

将X-2Y+Z=0两边乘2,得到:2X-4Y+2Z=0,将其与3X+Y-2Z=0等号两边分别相加,得:

5X-3Y=0 -> X:Y=3:5

将3X+Y-2Z=0两边乘2,得到:6X+2Y-4Z=0,将其与X-2Y+Z=0等号两边分别相加,得:

7X-3Z=0 -> X:Z=3:7

由上面两步可得:

X:Y:Z=3:5:7.回答完毕.