[tex]6a = 4.54 - 5b \\ a = \frac{227}{300} - \frac{5}{6} b \\ 6a = 4.54 - 5b \\ a = \frac{227}{300} - \frac{5}{6} \\ 3( \frac{227}{300} - \frac{5}{6} b) + 7b = 3.17 [/tex]
[tex] 3( \frac{227}{300} - \frac{5}{6} b) + 7b = 3.17 \\ \frac{227}{100} - \frac{5}{2}b + 7b = 3.17 \\ \frac{9}{2}b = 0.9 \\ b = 0.2 \\ a = 0.59[/tex]
