Question:

Does a system of linear equations always have a solution?

Last updated: 7/19/2022

Does a system of linear equations always have a solution?

Does a system of linear equations always have a solution? What about the following system? x + 3y = 1; 2x+6y=3 If we think of the two equations in the above system as two "straight lines" in the plane, can you explain why the system doesn't have a solution?