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The image contains a multiple-choice question asking to select the correct option regarding the solution of the following system of linear equations:

\[
2x - 5y = -6
\]
\[
4x - 10y = -12
\]

Let's analyze the system of equations to find the correct answer.

### Step 1: Compare the two equations
The second equation, \( 4x - 10y = -12 \), is simply the first equation multiplied by 2. Let's verify this:

- Multiply the first equation by 2:
  \[
  2(2x - 5y) = 2(-6)
  \]
  \[
  4x - 10y = -12
  \]

Since the second equation is exactly the same as the first equation after multiplying by 2, both equations represent the same line.

### Step 2: Determine the type of solution
Since both equations are equivalent, the system represents two identical lines, meaning they have infinitely many solutions. This is because the two lines coincide.

### Step 3: Analyze the options
- **a.** "Es el punto de coordenadas (2, 2)": This is incorrect because the system doesn't have a unique solution, but rather infinitely many solutions.
- **b.** "Tiene infinitas soluciones, pues las ecuaciones corresponden a rectas paralelas": This is incorrect because although there are infinite solutions, the lines are not merely parallel, they are the same line.
- **c.** "Tiene infinitas soluciones, pues las ecuaciones corresponden a la misma recta": This is the correct answer since both equations describe the same line.
- **d.** "No tiene solución, pues las ecuaciones corresponden a rectas paralelas": This is incorrect because there are solutions, and the lines are not parallel but coincide.

### Conclusion
The correct answer is **c**: "Tiene infinitas soluciones, pues las ecuaciones corresponden a la misma recta."

Would you like further details or explanations? Here are some related questions you might consider:

1. How do you determine if two lines are parallel or identical?
2. What does it mean for a system of equations to have no solution?
3. Can you provide another example of a system with infinitely many solutions?
4. How can you solve a system of equations by graphing?
5. How can systems of equations be solved using substitution or elimination?

**Tip:** When analyzing a system of equations, check if one equation is a multiple of the other. This is a quick way to determine if the system has infinitely many solutions.

Selecciona la opción correcta con respecto a la solución del sistema:

2x - 5y = -6
4x - 10y = -12

Analyze and solve the system of linear equations 2x - 5y = -6 and 4x - 10y = -12, leading to infinitely many solutions since both equations represent the same line. Suitable for students in Grades 8-10.

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