Solving Systems of Linear Equations in Two Variables Using Determinants

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

For a linear system with two variables, how many determinants do we need to find to find the complete solution using Cramer's rule?

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1.

What is the determinant of the coefficient matrix of this linear system?

2x + 2y = 10

3x - 2y = 0

2.

Find the x solution of this system using Cramer's rule.

2x + 2y = 10

3x - 2y = 0

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About This Quiz & Worksheet

This quiz and attached worksheet will help gauge your understanding of using determinants with systems of linear equations in two variables. Topics you will need to know to pass the quiz include Cramer's rule and linear systems.

Quiz & Worksheet Goals

Use these assessment tools to measure your knowledge of:

  • Determinants
  • Cramer's rule
  • Constant numbers in columns of a coefficient matrix

Skills practiced

This worksheet and quiz let you practice the following skills:

  • Critical thinking - apply relevant concepts to examine information about using determinants with systems of linear equations in two variables in a different light
  • Problem solving - use acquired knowledge on using determinants with systems of linear equations in two variables practice problems
  • Interpreting information - verify that you can read information regarding Cramer's rule and interpret it correctly

Additional Learning

To learn more about using determinants with systems of linear equations in two variables, review the lesson Solving Systems of Linear Equations in Two Variables Using Determinants, which covers the following objectives:

  • Linear systems in two variables
  • Define Cramer's rule
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