解下列方程组(3元1次)
问题描述:
解下列方程组(3元1次)
( 1 ):
x=2y+z
{x+y+z=7
3x+2y-z=12
( 2 ):
x/2=y/3=z/4
{4x+3y+2z=50
答
( 1 ):x=2y+z ①x+y+z=7 ②3x+2y-z=12 ③把①代入②③得2y+z+y+z=7→3y+2z=7④ 6y+3z+2y-z=12→8y+2z=12⑤由 ④-⑤得3y+2z-(8y+2z)=7-12解得y=1把y=1代入④得z=2把y=1,z=2代入①得x=4经检验符合题意原不等式的...