To solve the system of equations:
- \( -2x - 5y = 10 \)
- \( y = -4 \)
We can substitute the value of \( y \) from the second equation into the first equation.
Substituting \( y = -4 \) into \( -2x - 5y = 10 \):
\[ -2x - 5(-4) = 10 \]
Now simplify:
\[ -2x + 20 = 10 \]
Next, isolate \( -2x \) by subtracting 20 from both sides:
\[ -2x = 10 - 20 \] \[ -2x = -10 \]
Now, divide both sides by -2:
\[ x = \frac{-10}{-2} = 5 \]
So, we have the solution:
\[ x = 5, \quad y = -4 \]
The solution to the system of equations is \( (x, y) = (5, -4) \).