\(3x=2y=z\Leftrightarrow\frac{x}{\frac{1}{3}}=\frac{y}{\frac{1}{2}}=\frac{z}{1}=\frac{x+y+2z}{\frac{1}{3}+\frac{1}{2}+2}=\frac{105}{\frac{17}{6}}=\frac{630}{17}\)
x = 1/3 . 630/17 =210/17
y=1/2 . 630/17 =315/17
z =760/17
b)\(\frac{x}{1}=\frac{y}{2}=\frac{z}{\frac{1}{3}}=\frac{3x-2y+z}{3.1-2.2+\frac{1}{3}}=\frac{1}{-\frac{2}{3}}=-\frac{3}{2}\)
x=-3/2
y=-3/2.2 =-3
z =-3/2 .1/3 = -1/2