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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?
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 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?
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?
When solving a system of linear equations using the elimination method, what is the purpose of making the coefficients of one variable opposites?
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What is the result of solving a system of linear equations using either the substitution or elimination method?
What is the result of solving a system of linear equations using either the substitution or elimination method?
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