Write linear equation in two variables to represent the following statement: Two number are in the ratio $2:3$

Find four different solutions for the given equation in two variables: $x=3y$

Find four different solutions for the given equation in two variables: $4x+3y=12$

Find four different solutions for the given equation in two variables: $x+2y=6$

Find four different solutions for the given equation in two variables: $5x+2y=0$

Find four different solutions for the given equation in two variables: $3x+4=0$

Find four different solutions for the given equation in two variables: $2y-5=0$

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

Find the value of $k$, if $\left(2,-3\right)$ is a solution of the equation $kx-3y+5=0$.