Let's solve the system of equations and determine its consistency and dependency.

The system of equations is:

1. $2x - y = -4$
2. $-5x + y = 13$

To solve this system, we can use the method of elimination or substitution. Let's use substitution.

From the first equation:

$y = 2x + 4$

Substitute $y$ in the second equation:

$-5x + (2x + 4) = 13$

Simplify and solve for $x$:

$-5x + 2x + 4 = 13$ $-3x + 4 = 13$ $-3x = 9$ $x = -3$

Now that we have $x$, substitute it back into the expression for $y$:

$y = 2(-3) + 4$ $y = -6 + 4$ $y = -2$

The solution to the system is $(x, y) = (-3, -2)$.

To determine consistency and dependency:

• The system is consistent because there is at least one solution.
• It's independent because the equations are not multiples of each other and have exactly one solution.