https://file.aiquickdraw.com/mathbot/file/1727226133322savx0onw.jpg

The image contains a system of linear equations that needs to be solved:

\[
\begin{cases}
3x - 2y = -4 \\
x + 2y = -4
\end{cases}
\]

### Steps to solve:

1. **Step 1: Add the equations.**

We can add both equations to eliminate \(y\):

\[
(3x - 2y) + (x + 2y) = -4 + (-4)
\]

This simplifies to:

\[
4x = -8
\]

So, \(x = \frac{-8}{4} = -2\).

2. **Step 2: Substitute \(x = -2\) into one of the original equations.**

Substitute into the second equation:

\[
x + 2y = -4
\]

\[
-2 + 2y = -4
\]

Solving for \(y\):

\[
2y = -4 + 2 = -2
\]

\[
y = \frac{-2}{2} = -1
\]

### Final Answer:
The solution to the system of equations is \(x = -2\) and \(y = -1\).

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Would you like more details on the solution or any specific steps? Here are some related questions for practice:

1. How do you verify the solution for a system of equations?
2. What methods can be used to solve a system of linear equations other than addition?
3. Can you graphically interpret the solution of this system?
4. How would the solution change if the coefficients of \(x\) were different in both equations?
5. How do you solve systems of equations with three variables?

**Tip:** Always check your solution by substituting the values back into the original equations!

Nilai x dan y yang memenuhi persamaan: {3x - 2y = -4, x + 2y = -4}

Learn how to solve the system of linear equations 3x - 2y = -4 and x + 2y = -4. This step-by-step solution uses the addition method to find the values of x and y, covering key algebraic concepts. Suitable for students in Grades 8-10.

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