The expression is given
[tex]\frac{6}{b}-1=\frac{9}{7}[/tex]ExplanationTo determine the value of b.
[tex]\begin{gathered} \frac{6}{b}-1=\frac{9}{7} \\ \frac{6}{b}=\frac{9}{7}+1 \\ \frac{6}{b}=\frac{9+7}{7} \\ \frac{6}{b}=\frac{16}{7} \\ b=\frac{6\times7}{16} \\ b=\frac{3\times7}{8} \\ b=\frac{21}{8} \end{gathered}[/tex]AnswerHence the value of b is
[tex]b=\frac{21}{8}=2.625[/tex]