How to Find points of intersection in different equations

In this tutorial the instructor shows how to solve linear and quadratic equations. It is a liner quadratic system where he shows a parabola and a straight line and he intends to solve the points where the line intersects the parabola. Now he uses comparison to compare the values of y in both the equation resulting in a equation in x. Now he shows the factors of the obtained polynomial equation and there by finding the values of x coordinates. Now he substitutes these values of x in the original line equation to obtain the values of corresponding y coordinates. There by finally he obtains the values of the points of intersection. In this video the instructor shows how to solve a linear and a quadratic equation.