We want to know if
[tex]c=1[/tex]Is a solution for
[tex]3(c-6)=21[/tex]To see if this is a solution for the equation, we just need to evaluate the equation with the given value.
[tex]\begin{gathered} 3(1-6)=21 \\ 3(-5)=21 \\ -15=21 \end{gathered}[/tex]Since the last statement is false(-15 IS NOT equal to 21), we can say that 1 is not a solution for this equation.