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Math·Algebra·Linear inequalities in one or two variables

hard

$$\begin{gathered} y>2x+k \\ y<9-x \end{gathered}$$
In the given system of inequalities, $k$ is a positive constant. Which of the following represents the $x$-coordinates of all the points $(x,y)$ that satisfy this system in the $xy$-plane?

A

$x>\frac{k}{9}$

B

$x<\frac{k}{9}$

C

$x>\frac{9-k}{3}$

D

$x<\frac{9-k}{3}$