91Ó°ÊÓ

We have an equation $y-9=3$and a set $y:\left\{6,8,10,12,14\right\}$

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

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

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

Substitute $y=6$in the equation $y-9=3$

$$\begin{gathered} 6-9=3 \\ ⇒-3≠3 \end{gathered}$$

$y=6$is not a solution

Substitute $y=8$in the equation $y-9=3$

$$\begin{gathered} 8-9=3 \\ ⇒-1≠3 \end{gathered}$$

$y=8$is not a solution

Substitute $y=10$in the equation $y-9=3$

$$\begin{gathered} 10-9=3 \\ ⇒1≠3 \end{gathered}$$

$y=10$is not solution

Substitute $y=12$in the equation $y-9=3$

$$\begin{gathered} 12-9=3 \\ ⇒3=3 \end{gathered}$$

$y=12$is a solution

Substitute $y=14$in the equation$y-9=3$

$$\begin{gathered} 14-9=3 \\ ⇒5=3 \end{gathered}$$

Hence, the$y=12$ is the solution of the given equation.