初二二元一次方程与一次函数的题目x+2y+3z=5{2x+3y+z=13的解是?3x+y+2z=12

问题描述:

初二二元一次方程与一次函数的题目
x+2y+3z=5
{2x+3y+z=13的解是?
3x+y+2z=12

x+2y+3z=5……(1)
2x+3y+z=13……(2)
3x+y+2z=12……(3)
(1)×2-(2) y+5z=-3 ,y=-3-5z
(1)×3-(3) 5y+7z=3 ,5(-3-5z)+7z=3 ,z=-1
y=2 , x=4

x+2y+3z=5 ①2x+3y+z=13 ②3x+y+2z=12 ③三个式子相加为 6x +6y +6z =30x+y+z =5 ④①-④得:y+2z =0 ⑤②-2×④得y - z = 3 y = 3+z ⑥把⑥代入⑤得:3+z+2z =0z = -1把z=-1代人⑥得:y =3-1 =2把y=2,z=-1代人④得x...