Question

Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.

(v) $2y-3=7\left(0,3,5,7\right)$

Answer 1

Given, $2y-3=7\left(0,3,5,7\right)$ is the equation.

Now,

For, $y=0$, LHS $$\begin{gathered} =2\times 0-3 \\ =-3 \end{gathered}$$

Here, LHS$\ne$RHS. So, $y=0$ is not a solution.

For, $y=3$, LHS $$\begin{gathered} =2\times 3-3 \\ =6-3 \\ =3 \end{gathered}$$

Here LHS$\ne$RHS. So, $y=3$ is not a solution.

For, $y=5$, LHS $$\begin{gathered} =2\times 5-3 \\ =10-3 \\ =7 \end{gathered}$$

Here, LHS$=$RHS, So, $y=5$ is a solution.

For, $y=7$, LHS $$\begin{gathered} =2\times 7-3 \\ =14-3 \\ =11 \end{gathered}$$

Here, LHS$\ne$RHS. Therefore, $y=7$ is not a solution.

Here, $y=5$ is the solution of the given equation.