Intersection of Linear Functions with Conditions

Consider the linear function defined by the equation:

$$ y = 3x - 5 $$

Additionally, there is a second linear function defined by the equation:

$$ y = mx + 4 $$

where $m$ is a constant. The two functions intersect at a point $(a, b)$, which meets the conditions:

• The $x$-coordinate of the intersection point, $a$, is twice the $y$-coordinate, $b$.

Calculate the value of $a$ and enter it in the grid below.