The system of equations provided is unclear because there are three parts written in a single line without proper separation between the equations. Can you confirm if these are three separate equations, like this:

1. $x + y - 4 = 2$
2. $x - 3y + 6 = 3$
3. $3x - 4y + 7 = 0$

Or do you mean two equations like:

1. $x + y - 4 = 2x - 3y + 6 = 3x - 4y + 7$

Please clarify the number of equations or upload a photo of the problem.

Let me know if you'd like further details or any additional clarifications!

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Here are 5 questions to deepen your understanding:

1. What are some methods to solve a system of equations with two variables?
2. How can you verify if a solution is correct for a system of equations?
3. What are the differences between substitution and elimination methods?
4. How can graphing be used to solve a system of equations?
5. What happens if a system of equations has no solution or infinite solutions?

Tip: Always double-check each equation after solving for variables by plugging the values back into the original system.