To check if the expressions are equivalent, start from the base equation
[tex]a+3b=5c-9[/tex]now, the possible options are the equations cleared for a, b, 5, and 3.
clear for all the possible ones and check which of them is not correct
For a
[tex]a=5c-9-3b[/tex]for b
[tex]\begin{gathered} 3b=5c-9-a \\ b=\frac{5c-9-a}{3} \end{gathered}[/tex]for 5
[tex]\begin{gathered} a+3b+9=5c \\ \frac{a+3b+9}{c}=5 \end{gathered}[/tex]for 3
[tex]\begin{gathered} 3b=5c-9-a \\ 3=\frac{5c-9-a}{b} \end{gathered}[/tex]According to the possible optiones the equation that is not equivalent is option B because it is been multiplied by -1/3 and it must be just a 1/3
