9.Solve the equation 7x – 9 = 16.

Here we have, 7x – 9 = 16
\(\Rightarrow\) 7x – 9 + 9 = 16 + 9 (adding 9 to both the sides)

\(\Rightarrow\) 7x = 25

\(\Rightarrow\) 7x ÷ 7 = 25 ÷ 7 (dividing both the sides by 7)

\(\Rightarrow\) x = \(\frac { 25 }{ 7 }\)

Thus, x = \(\frac { 25 }{ 7 }\) is the required solution.

Check:

Keep x = \(\frac { 25 }{ 7 }\) in the given solution

L.H.S=\(7x-9=7×\frac{25}{7}-9=25-9=16\)=R.H.S

Hence x = \(\frac { 25 }{ 7 }\) is the required solution.