This Lesson (VIDEO LECTURE -- Solving a System of Nonlinear Equations by Substitution) was created by by brightstorm(0): View Source, Show About brightstorm: Brightstorm math, thousands of math videos
Video describes how to solve a system of nonlinear equations. The teacher considers first the case of the parabola and the straight line and shows that the system may have no solutions in this case or have one or two solutions. He considers then the case of the parabola and the circle and shows that the system may have no solutions or may have one, two, three or four solutions. Then the teacher points to the substitution and elimination methods that can be used to solve these non-linear systems of equations. Note that there are written lessons for the same subject in this module.