# Systems of linear equations and inequalities

## Solving linear equations and linear inequalities — Basic example

Menu Algebra 1 / Systems of linear equations and inequalities / A system of linear inequalities in two variables consists of at least two linear that is a solution to all inequalities in the system and the graph of the linear inequality is the graph.

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If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Solving linear equations and linear inequalities — Basic example. Solving linear equations and linear inequalities — Harder example. Interpreting linear functions — Basic example. Interpreting linear functions — Harder example.

When solving Systems of Linear Equations and Inequalities, the challenge is finding a solution that satisfies every equation or inequality in the system. Critical thinking skills involve the comprehension that various systems have multiple solutions as well as Simultaneous Linear Equations with No Solutions and Simultaneous Linear Equations with Infinite Solutions. By acquiring the analytical skills found in these sub-topics, you will be prepared for advanced levels within the Mathematics department. Create Account Sign In. What do you want to learn? Are you a student? Free Professional Development.

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality. Usually only the solution region is shaded which makes it easier to see which region is the solution region. Share on Facebook. Search Pre-Algebra All courses.

## Graphing Systems of Linear Inequalities

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