Mathematics - Lecture 12 "Systems of equations" presents the following content: Two linear equations in two variables; examples of systems involving quadratic equations: a line and a parabola, a line and a circle; three linear equations in three variables. | Systems of Equations Mathematics 17 Institute of Mathematics, University of the Philippines-Diliman Lecture 12 Math 17 (UP-IMath) Systems Lec 12 1 / 29 Outline 1 Two Linear Equations in Two Variables 2 Examples of Systems Involving Quadratic Equations A Line and a Parabola A Line and a Circle 3 Three Linear Equations in Three variables Math 17 (UP-IMath) Systems Lec 12 2 / 29 Aim for this Lecture Previously: graphing lines, parabolas, circles Math 17 (UP-IMath) Systems Lec 12 3 / 29 Aim for this Lecture Previously: graphing lines, parabolas, circles Learn techniques in solving systems of equations Math 17 (UP-IMath) Systems Lec 12 3 / 29 Aim for this Lecture Previously: graphing lines, parabolas, circles Learn techniques in solving systems of equations Solve algebraically for the intersections of graphs of equations Math 17 (UP-IMath) Systems Lec 12 3 / .