Final answer:
The commonly used methods to solve systems of linear equations include substitution, elimination, graphing, and matrix multiplication. Substitution and elimination are algebraic, while graphing is visual, and matrix multiplication applies linear algebra techniques.
Step-by-step explanation:
Common methods used to solve systems of linear equations include:
- Substitution
- Elimination
- Graphing
- Matrix multiplication
Using the substitution method, we solve one equation for one variable and substitute the result into the other equation. In the elimination method, we add or subtract the equations to eliminate one variable, making it possible to solve for the other.
Graphing involves plotting both equations on a coordinate plane and looking for the point where they intersect. Lastly, matrix multiplication can be used when working with larger systems, applying linear algebra techniques.