-4x-2=-12

Let's solve the system of equations step by step.

1. Solve the first equation for \( x \):

The first equation is: \[ -4x - 2 = -12 \]

Add 2 to both sides: \[ -4x = -12 + 2 \ -4x = -10 \]

Now, divide by -4: \[ x = \frac{-10}{-4} = \frac{10}{4} = \frac{5}{2} \]

So, \( x = \frac{5}{2} \).

2. Substitute \( x \) into the second equation:

The second equation is: \[ 4x + 8y = -24 \]

Substituting \( x = \frac{5}{2} \): \[ 4\left(\frac{5}{2}\right) + 8y = -24 \]

Calculating \( 4 \times \frac{5}{2} \): \[ 10 + 8y = -24 \]

Now, subtract 10 from both sides: \[ 8y = -24 - 10 \ 8y = -34 \]

Now divide by 8: \[ y = \frac{-34}{8} = \frac{-17}{4} \]

So, \( y = \frac{-17}{4} \).

3. Final solution:

The solution to the system of equations is: \[ x = \frac{5}{2}, \quad y = \frac{-17}{4} \]

You can summarize the solution as \( \left( \frac{5}{2}, \frac{-17}{4} \right) \).