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Linear Systems of Equations: Substitution or Elimination?
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Linear Systems of Equations: Substitution or Elimination?

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Questions and Answers

What is the primary goal when deciding which method to use to solve a system of linear equations?

  • To choose the method that will result in the simplest solution
  • To select the method that will eliminate the need for fractions
  • To find the easiest method to solve the system (correct)
  • To determine which variable to isolate first
  • When is it advantageous to use the substitution method to solve a system of linear equations?

  • When the system contains only two variables
  • When one of the equations is already solved for one variable (correct)
  • When the system has a unique solution
  • When the system contains only linear equations
  • What is the elimination method used to solve a system of linear equations?

  • Dividing the equations to eliminate one variable
  • Subtracting the equations to eliminate one equation
  • Adding or subtracting the equations to eliminate one variable (correct)
  • Multiplying the equations to make the coefficients of one variable opposites
  • When solving a system of linear equations using the elimination method, what is the purpose of making the coefficients of one variable opposites?

    <p>To eliminate one variable</p> Signup and view all the answers

    What is the result of solving a system of linear equations using either the substitution or elimination method?

    <p>A unique solution</p> Signup and view all the answers

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