已知x:y:z=3:4:7,且2x-y+z=-18,求x+y+z.

问题描述:

已知x:y:z=3:4:7,且2x-y+z=-18,求x+y+z.

∵x:y:z=3:4:7,
∴y=

4
3
x,z=
7
3
x,
把y=
4
3
x,z=
7
3
x代入2x-y+z=-18中,得
2x-
4
3
x+
7
3
x=-18,
解得x=-6,
把x=-6代入y=
4
3
x和z=
7
3
x中,得
y=-8,z=-14,
∴x+y+z=-6-8-14=-28.