If $(5, 2)$ is one of the solutions of the equation $x + 3y = k$,then $k = \ldots$

Find the common solution of the equations $x + y = 0$ and $x - y = 0$.

If $(k, 3)$ is a solution of the equation $2x + 5y = 17$,find the value of $k$.

Check whether $(0, 2)$ is a solution of the equation $x - 2y = 4$.

State whether the following statement is True or False. Justify your answer:
The coordinates of points in the table:

$x$	$0$	$1$	$2$	$3$	$4$
$y$	$2$	$3$	$4$	$-5$	$6$

represent some of the solutions of the equation $x-y+2=0$.

Find the value of $k,$ if $(2,5)$ is a solution of $3x - 4y = k$.