To solve the system of linear equations:

\[ 
\begin{cases} 
x + y = 4 \\
x + 2y = 9 
\end{cases}
\]

we can use the substitution or elimination method. Here, I will use the elimination method.

1. Start with the given equations:
   \[
   (1) \ x + y = 4
   \]
   \[
   (2) \ x + 2y = 9
   \]

2. Subtract equation (1) from equation (2):
   \[
   (x + 2y) - (x + y) = 9 - 4
   \]
   \[
   x + 2y - x - y = 5
   \]
   \[
   y = 5
   \]

3. Substitute \( y = 5 \) back into equation (1):
   \[
   x + 5 = 4
   \]
   \[
   x = 4 - 5
   \]
   \[
   x = -1
   \]

So, the solution to the system of equations is:
\[ x = -1, \ y = 5 \]

Would you like more details or have any questions?

Here are 5 numbered questions you might want to ask:
1. How do you verify the solution to a system of equations?
2. Can you solve a different system of linear equations for me?
3. What methods can be used to solve systems of linear equations?
4. How do you graphically represent the solution to a system of linear equations?
5. What is the substitution method for solving systems of equations?

**Tip:** When solving systems of linear equations, always double-check your solution by substituting the values back into the original equations to ensure they satisfy both equations.

Learn how to solve the system of linear equations x + y = 4 and x + 2y = 9 using the elimination method. This problem covers key concepts in algebra, including systems of linear equations and solution methods. Suitable for students in Grades 9-12.

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