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The solution to the simultaneous equations is:

\[
x = 4, \quad y = -7
\]

Would you like more details on how this was solved or have any further questions?

Here are 5 related questions to explore:
1. What are the different methods to solve simultaneous equations?
2. How would you solve these equations using substitution instead of elimination?
3. Can you use matrices to solve this system of equations?
4. What happens if the system of equations has no solution?
5. How would you graphically represent the solution to these equations?

**Tip**: When solving simultaneous equations, always check if the equations are independent; otherwise, they might represent the same line or have no solutions.

Solve the simultaneous equations: 5x + 2y = 6 and 12x + 5y = 13.

Learn how to solve the system of linear simultaneous equations 5x + 2y = 6 and 12x + 5y = 13 using the method of elimination or substitution. A detailed step-by-step solution will walk you through algebraic methods suitable for students in Grades 9-11.

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