Final answer:
The student asked about solving a system of three linear equations. Methods such as substitution, elimination, or matrix operations can be used to find the values of the variables A, B, and C.
Step-by-step explanation:
The student's question involves solving a system of three linear equations. The equations are:
- A + 4B + 5C = -7
- -3A - 2B - 4C = 0
- 5A + 3B - 4C = 11
To find the values of A, B, and C, one could use methods such as substitution, elimination, or matrix operations (like the Gaussian elimination or Cramer's rule). Each method systematically reduces the system to a simpler form, ultimately providing the values for A, B, and C that satisfy all three equations simultaneously.