How to Solve a Linear System in Three Variables With No or Infinite Solutions


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question 1 of 3

How many more equations are needed to complete this linear system with three variables?

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1. If a linear system has three variables, how many equations are needed to complete the system?

2. How many solutions does this system have?

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About This Quiz & Worksheet

Linear systems in three variables can have no or infinite solutions. This quiz and worksheet combination will help you test your understanding of these types of systems. These practice questions will help you test yourself on how to complete these systems and how to identify whether a system has no or infinite solutions.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • The characteristics of linear systems
  • Amount of equations or solutions a system has
  • Identifying linear systems with no solutions

Skills Practiced

This quiz and worksheet will test your skills in the following areas:

  • Reading comprehension - ensure that you draw the pertinent information on these systems from the related lesson
  • Critical thinking - apply relevant concepts to examine information about linear systems in a different light
  • Problem solving - use your acquired knowledge to solve linear system practice problems
  • Knowledge application - use your knowledge to answer questions about linear systems with no or infinite solutions

Additional Learning

To learn more about solving linear systems in three variables with no or infinite solutions, review the accompanying lesson How to Solve a Linear System in Three Variables With No or Infinite Solutions. This lesson covers the following objectives:

  • Define linear systems in three variables
  • Differentiate between systems with no and infinite solutions
  • Identify the characteristics of each type of linear system
  • Understand how to use the elimination method to solve these systems