Texas Gateway: Solving Systems of Equations With Graphs

With 30 problems, each accompanied by a blank graph, pupils get thorough practice solving systems of equations by graphing and finding the point of intersection. Answers are provided in coordinate form.

Lets keep the system working and show learners the three ways to solve linear systems of equations. Each method includes step-by-step instructions to work their way through the problem. The same problem is used for each method to show...

Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...

Elimination is another method for solving systems of equations, in addition to graphing and substitution. Sal's lecture is straightforward to understand, even for students who struggle with learning. By having a variety of options when...

Sal begins this video by "massaging the equations slightly to prepare them for elimination." The equations won't be the only relaxed part of this lesson, which introduces the concept of multiplication to systems of equations. Viewers...

Show how matrices can be helpful for solving systems of equations. The video illustrates an example of solving a two-variable system utilizing Cramer's Rule. The instructor shows how to find the determinant of each matrix and then uses...

Sal evaluates a word problem and then solves it by graphing systems of equations. This problem would be significant as a daily challenge, as a concept review, or as a homework assignment. Show this video only after the students have had...

Given verbal and/or algebraic descriptions of situations involving systems of two-variable linear equations, the student will solve the system of equations by different methods.

Given a system of three linear equations, the student will solve the system with a unique solution.

Define a system of equations with only one solution? Sure! If you have a system of equations with only one solution you'll find that it results in an ordered pair (2,2). This means that those equations intersect at only one point.