11.Solve the equation 17 + 6p = 9.

Here,we have, 17 + 6p = 9

\(\Rightarrow\) 17 – 17 + 6p = 9 – 17 (subtracting 17 from the both sides)

\(\Rightarrow\) 6p = -8

\(\Rightarrow\) 6p ÷ 6 = -8 ÷ 6 (dividing both the sides by 6)

\(\Rightarrow\) p = \(\frac { -8 }{ 6 }\)

\(\Rightarrow\) p = \(\frac { -4 }{ 3 }\)

Thus, p = \(\frac { -4 }{ 3 }\) is the required solution.

Check:

Keep p = \(\frac { -4 }{ 3 }\) in the given solution

L.H.S=\(17+6p=17+6×\frac{-4}{3}=17-8=9\)=L.H.S

Hencep = \(\frac { -4 }{ 3 }\) is the required solution.