Mathisfun solving three equation systems

#MATHISFUN SOLVING THREE EQUATION SYSTEMS HOW TO#
#MATHISFUN SOLVING THREE EQUATION SYSTEMS FREE#

The key to completing the backsolving method successfully is to eliminate the same variable from your two sets of three-variable equations.

#MATHISFUN SOLVING THREE EQUATION SYSTEMS HOW TO#

In the following video tutorial, I demonstrate how to choose two sets of two equations to perform the elimination method on, and then back solve to solve for all three variables. ItвЂ™s a bit tedious, but a fairly simple process once you get the hang of it. Once you find one variableвЂ™s solution, you can then back solve to find the solutions for the other two variables. The basic idea behind the backsolving method is to take your 3 three-variable equations and make 2 two-variable equations so that you can solve them using the traditional substitution or elimination methods.

In fact, youвЂ™ll be using the Elimination method multiple times in the course of the backsolving method. The Backsolving Method is reminiscent of the Elimination Method from our standard systems of equations arsenal.

If you are in a Linear Algebra or computer programming course, youвЂ™ll probably be asked to solve using Gaussian Elimination with matrices. If you are in second-year Algebra or PreCalculus, most likely youвЂ™ll be using the Backsolving Method. The main difference is whether you want or need to solve the system using equations or matrices. The two main methods are called the Backsolving Method and Gaussian Elimination/Row Reduction Method (sometimes called Gauss-Jordan Elimination). Just like when you were solving two-variable systems of equations you had multiple methods to choose from, you have a couple of options here as well. In some cases, you may be able to solve a three-variable system of equations with only two equations, but it isnвЂ™t as common. This is similar to how you need two equations to solve a standard system of linear equations. In general, youвЂ™ll be given three equations to solve a three-variable system of equations. ItвЂ™s probably sufficient for you to understand that the solution to your three-variable system of equations is the values that will make all three equations true and represents the intersection of three planes in 3D space. DonвЂ™t worry, you seldom will be asked to graph a set of three variable systems in 3D space. Visually, a three-variable equation is represented in 3-dimensional space as a plane in the xyz-coordinate axis. The solution still represents the values for x, y, and z (or whatever variables your equations are using) that when plugged into each equation holds true. Three variable systems of equations arenвЂ™t so different. In other words, the solution is the value or values for x and y that hold true for both equations. The first question you may have is what exactly is this three-variable system? You may remember from two-variable systems of equations, the equations each represent a line on an XY-coordinate plane, and the solution is the (x,y) intersection point for the two lines.

#MATHISFUN SOLVING THREE EQUATION SYSTEMS FREE#

You are welcome to watch and subscribe to the free math tutoring channel: Math Tutoring by Dr.What is a Three-Variable System of Equations? New videos are usually coming on daily base. The following short videos are available. These short videos focus on developing logical thinking and making learning math easier. Recently, I am creating some math tutoring videos mainly for math Olympiad, calculus, and high school math. I have more than twenty years of experience teaching and tutoring math at both secondary school and university levels. I hold a bachelor degree in math education, a PhD in math from China and a PhD in applied math from Canada.

My name is Derek Liang, and I am from Canada.

Mathisfun solving three equation systems