Consider the Euclidean space in two dimensions E2 and the following system of equations 3x1 - 4x2 = 2 2x1 + 5x2 = 9

a) Isolate the above information in the appropriate boxes (matrices and vectors) in order to identify the three components of any linear system of equations.

b) Explain in words, to an audience that does not know mathematics, the meaning of solving a system of linear equations.

c) Identify the basis of the above linear system.

d) Solve the above linear system by graphical methods. There are two graphical methods: the primal (reading the system by row) and the dual (reading the system by column) methods. Verify that the two solutions coincide.