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Answer :
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.