Podcast
Questions and Answers
What method was used to solve the system of linear equations in the first example?
What method was used to solve the system of linear equations in the first example?
- Substitution (correct)
- Factoring
- Graphing the equations
- Matrix inversion
In the second example, why was the elimination method chosen over substitution?
In the second example, why was the elimination method chosen over substitution?
- Substitution was tried first but did not work
- The x terms made it a good candidate for elimination (correct)
- The system of equations had only two variables
- The elimination method is always faster than substitution
What is a common indicator that elimination can be used in a linear equation system?
What is a common indicator that elimination can be used in a linear equation system?
- The coefficients being prime numbers
- The presence of fractions in the equations
- The number of equations being odd
- Having variables with opposite signs (correct)
Why is it important to check the solution by plugging values back into one of the original equations?
Why is it important to check the solution by plugging values back into one of the original equations?
Why was substitution chosen over elimination in the first example?
Why was substitution chosen over elimination in the first example?
What does it mean when solving a system of equations if you arrive at 'nonsense' like 8 = 32?
What does it mean when solving a system of equations if you arrive at 'nonsense' like 8 = 32?
When solving a system of equations, what is a key step after determining the value of one variable?
When solving a system of equations, what is a key step after determining the value of one variable?
'[...]plug in these values for y and z, and solve for x.' What method are you likely using at this point?
'[...]plug in these values for y and z, and solve for x.' What method are you likely using at this point?
What method is recommended to solve a system of linear equations if there is an indication to temporarily eliminate a variable?
What method is recommended to solve a system of linear equations if there is an indication to temporarily eliminate a variable?
When solving the system of equations, which method involves adding two equations together to eliminate a variable?
When solving the system of equations, which method involves adding two equations together to eliminate a variable?
After eliminating a variable in a system of equations, what should be done next to obtain the value of one of the variables?
After eliminating a variable in a system of equations, what should be done next to obtain the value of one of the variables?
What is a key advantage of using the elimination method over substitution in solving linear equations systems?
What is a key advantage of using the elimination method over substitution in solving linear equations systems?
When dealing with linear equations systems, why is it important to check the solution by plugging values back into an original equation?
When dealing with linear equations systems, why is it important to check the solution by plugging values back into an original equation?
What does it mean if, during the solving process of a linear equation, you end up with 'nonsense' like 8 = 32?
What does it mean if, during the solving process of a linear equation, you end up with 'nonsense' like 8 = 32?
'Now, we know two of the three variables - now we can turn back to the original three equations, plug in these values for y and z, and solve for x.' What method are you most likely using at this point?
'Now, we know two of the three variables - now we can turn back to the original three equations, plug in these values for y and z, and solve for x.' What method are you most likely using at this point?
