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Solving Systems

This guide provides a comprehensive method for solving systems of linear equations using inverse matrices. We will solve the systems represented by the equations: 3x + 2y = 7 and 4x - 5y = 11, along with examples for systems such as 2x - 4y = 9 and 3x - 2y = 1. The technique involves setting up a matrix equation and using the inverse of the coefficient matrix to find the solution. This method highlights the power of linear algebra in solving complex systems efficiently.

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Solving Systems

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  1. Solving Systems Using Inverse Matrices

  2. Solve the system using inverse matrices 3x + 2y = 7 The formula to find the solution is: 4x - 5y = 11 You can use the inverse of the coefficient matrix to find the solution. A= Set up a matrix equation to find the solution. A B

  3. Solve the system using inverse matrices 2x - 4y = 9 The formula to find the solution is: 3x - 2y = 1 A= Set up a matrix equation to find the solution. A B

  4. Solve the system using inverse matrices x + 4y = 8 The formula to find the solution is: 2x - 2y = -6 A= Set up a matrix equation to find the solution. A B

  5. Solve the system using inverse matrices The formula to find the solution is: Set up a matrix equation to find the solution.

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