The Linear-Cubic System. THE MOST GENERAL SOLUTION. | System of Equations

0:00 Video Starts.
0:43 Method 1. Substitution (Eliminating One Variable)
5:18 Method 2. Relation Between Roots and Coefficients (Vieta's Formulas, Using x+y and xy)

Another system of equations, now with one linear equation and one cubic equation, also with varying parameters a and b. But you must be careful this time, because in this particular problem, depending on values of a and b, the system can have infinitely many solutions, finite number of solutions, or no solutions. So you must wisely divide the cases this time.

#SystemOfEquations #equations #NonlinearEquations

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