(Solved): A system of linear equations with more equations than unknowns is sometimes called an overdetermin ...

A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system be consistent? Illustrate your answer with a specific system of three equations in two unknowns. Choose the correct answer below. A. No, overdetermined systems cannot be consistent because there are fewer free variables B. Yes, overdetermined systems can be consistent. For example, the system of equations than equations. For example, the system of equations below has no solution. below is consistent because it has the solution $$x_1=2,x_2=4,x_1+x_2=12$$ (Type an ordered pair.) $$x_1=2,x_2=4,x_1+x_2=8$$ C. No, overdetermined systems cannot be consistent because there are no free variables. D. Yes, overdetermined systems can be consistent. For example, the system of equations For example, the system of equations below has no solution. below is consistent because it has the solution $$x_1=2,x_2=4,x_1+x_2=24$$ (Type an ordered pair.) $$x_1=2,x_2=4,x_1+x_2=6$$