91Ó°ÊÓ

We have an equation$3x-11=16$ and a set$x:\left\{1,3,5,7,9\right\}$

To find the solution of the given equation at every value of $x$.

We substitute the values of $x$in the given equation one by one and check which value of $x$makes both the sides of the equation equal.

Which value of $x$makes both the sides of the equation that is called the solution of the given equation.

Substitute $x=11$in the equation$3x-11=16$

$$\begin{gathered} 3·1-11=16 \\ ⇒3-11=16 \\ ⇒-8≠16 \end{gathered}$$

$x=1$is not solution

Substitute $x=3$in the equation$3x-11=16$

$$\begin{gathered} 3·3-11=16 \\ ⇒9-11=16 \\ ⇒-2≠16 \end{gathered}$$

$x=3$is not solution

Substitute $x=5$in the equation$3x-11=16$

$$\begin{gathered} 3·5-11=16 \\ ⇒15-11=16 \\ ⇒4≠16 \end{gathered}$$

$x=5$is not solution

Substitute $x=9$in the equation$3x-11=16$

$$\begin{gathered} 3·9-11=16 \\ ⇒27-11=16 \\ ⇒16=16 \end{gathered}$$

$x=9$is a solution

Substitute $x=7$in the equation$3x-11=16$

$$\begin{gathered} 3·7-11=16 \\ ⇒21-11=16 \\ ⇒10≠16 \end{gathered}$$

$x=7$is not a solution

Hence, the$x=9$ is the solution of the given equation.