Any point on the line $y=x$ is of the form

At what point does the graph of the linear equation $x+y=5$ meet a line which is parallel to the $y$-axis,at a distance $2$ units from the origin and in the positive direction of the $x$-axis?

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

If the point $(a, a-2)$ lies on the graph of the equation $3x + 5y = 30$,find the value of $a$.

How many linear equations in $x$ and $y$ can be satisfied by $x = 1$ and $y = 2$?

State whether the following statement is true or false:
If $(5, -2)$ is a solution of $5x + 2y = k$,then $k = 0$.