linear equation solver

Linear equations appear frequently in mathematics, engineering, computer science, economics, and many scientific fields. Solving systems of linear equations efficiently is an important computational task.

This project implements a Linear Equation Solver in C++ that reads equations from the user, analyzes them, stores their coefficients, and provides several operations including:

• Extracting variables

• Printing equations

• Performing equation operations (addition/subtraction)

• Substituting variables

• Building matrices

• Computing determinants

• Solving the system using Cramer's Rule

The program demonstrates concepts from:

• C++ programming

• Matrix mathematics

• Parsing expressions

• Algorithmic problem solving