Consider the system of equations
2x₁ + 3x₂ - 2x₃ = 5y₁ + 2y₂ - 3y₃ + 200
x₁ + 4x₂ + 3x₃ = 6y₁ - 4y₂ + 4y₃ - 120
5x₁ + 2x₂ - x₃ = 2y₁ - 2y₃ + 350
Write this system of equations in matrix form. Define the vectors and matrices you introduce.