[tex] \frac{x}{7} = \frac{y}{3} = \frac{z}{1} =k[/tex]
x = 7k
y = 3k
z = 1k
8x - 5y = 2
8*7k - 5*3k = 2
56k - 15k = 2
41k = 2
k = [tex] \frac{2}{41} [/tex]
x = [tex] 7 * \frac{2}{41} = \frac{14}{41} [/tex]
y = [tex]3 * \frac{2}{41} = \frac{6}{41} [/tex]
z = [tex] \frac{2}{41} [/tex]
xyz = [tex] \frac{14}{41} * \frac{6}{41} * \frac{2}{41} = \frac{168}{68921} [/tex]
