You are part of a development team responsible for coding a system that involves complex mathematical operations. To ensure a smooth integration of equations into the system, you are required to create a comprehensive report demonstrating your understanding of fundamental operational aspects of Linear Algebra. The report should include clear explanations and step-by-step solutions to the given set of equations, as this information is crucial for the development team to code the equations effectively. Task: Solve the following linear system using various methods substitution, elimination, matrix methods: 2D: 2x + 3y = 8 4x - y = 7 3D: 6x + 2y + 3z = 12 1. Provide a step-by-step solution for each method. 2. Discuss the advantages and disadvantages of each method in the context of this specific system. 3. Plot the 2D and 3D planes on Geogebra