Systems of linear equations and their solution, explained with pictures , examples and a cool interactive applet. Also, a look at the using substitution, graphing and elimination methods.

Together they are a system of linear equations. Can you discover the values of x and y yourself? (Just have a go, play with them a bit.) Let's try to build and solve a real world example:

Look at two ways to solve systems of linear equations algebraically: substitution and elimination. Look at systems of linear equations graphically to help us understand when systems of linear …

In addition to using methods such as substitution, elimination, and graphing, systems of linear equations can both be described and solved using matrices. Three methods for doing so …

This page introduces the elimination method for solving systems of linear equations using augmented matrices and row operations. It defines applicable operations, including scaling, …

Solve each system of equations without graphing, show your reasoning, and check your solutions. Use System A to answer questions 1 – 3. 1. What is the value of x ? 2. What is the value of y ? …

Nov 6, 2025 · Learn how to solve a linear systems word problem step-by-step! In this video, I walk you through setting up the equations, solving the system using substitution (or elimination), …

In this lesson, we will learn. A system of equations is two or more equations that contain the same variables. A solutions to a system of equations are the point where the lines intersect. There …

This section combines ideas from Section 0.5 and Section 1.3.1 so that we can start to solve systems of linear equations. Before we get ahead of ourselves, let’s review a few definitions.

We went on to solve it using "elimination", but we can also solve it using Matrices! Using Matrices makes life easier because we can use a computer program (such as the Matrix Calculator) to …