Solving a System of Equations Using Matrix Method
To solve a system of equations using the matrix method, follow these steps:

Step 1: Write the system of equations
- Write down the given system of equations in the form of \(Ax = B\), where A is the matrix of coefficients, x is the vector of variables, and B is the vector of constants.

Step 2: Set up the matrices
- Identify the matrices A and B from the system of equations and write them down.

Step 3: Find the inverse of matrix A
- Calculate the inverse of matrix A, denoted as \(A^{-1}\).

Step 4: Solve for x
- Multiply both sides of the equation \(Ax = B\) by the inverse of matrix A to solve for x. The solution will be x = \(A^{-1} \times B\).

Step 5: Check the solution
- Finally, substitute the values of x back into the original system of equations to verify if the solution is correct.
By following these steps, you can efficiently solve a system of equations using the matrix method. This method is particularly useful when dealing with systems of equations with multiple variables.