问题 解答题
解方程组:
x-4
3
=
y+1
4
=
z+2
5
x-2y+3z=30
答案

x-4
3
=
y+1
4
=
z+2
5
x-2y+3z=30②

由①可设

x-4
3
=
y+1
4
=
z+2
5
=k,

x=3k+4,y=4k-1,z=5k-2,

代入方程②得,3k+4-2(4k-1)+3(5k-2)=30,

去括号得,3k+4-8k+2+15k-6=30,

解得k=3,

所以x=3×3+4=13,

y=4×3-1=11,

z=5×3-2=13,

因此,这个方程组的解是

x=13
y=11
z=13

单项选择题 A1型题
问答题