Find the value of $k$, if $x=2, y=1$ is a solution of the equation $2 x+3 y=k$.

Solution:

Putting $x=2$ and $y=1$ in the given equation,

$2 x+3 y=k$

$\Rightarrow 2(2)+3(1)=k$

$\Rightarrow 4+3=k$

$\Rightarrow k=7$

Therefore, the value of $k$ is 7 .