10 Questions
In solving linear equations with the substitution method, why is it important to simplify whenever possible?
To ensure the accuracy of the final solution
Why do we choose one of the unknowns to be the subject in one of the equations when using the substitution method?
To eliminate one unknown variable
What is the purpose of substituting the modified equation back into the original equations in the substitution method?
To check if the solutions are consistent
When solving for x and y in 2x + 3y = 8 and 3x - 2y = -1, what is the first step after choosing x as the subject in the first equation?
Subtracting 3y from both sides
Why is it necessary to solve for one unknown variable before determining the remaining unknown when using the substitution method?
To reduce computational errors
What does y represent in the context of the refrigerator example?
Total cost of the refrigerator
In solving the equation 12y - 610x = 19200 for refrigerator 1, what does x represent?
Number of years the refrigerator is used
What is the relationship between x and y after 5 years for both refrigerators?
The total cost for both refrigerators will remain the same
What happens to the total cost comparison between refrigerators after 5 years?
The more expensive unit becomes less expensive
In the context of the equations for refrigerators 1 and 2, what does y = 1830 + 47x represent?
Total cost of refrigerator 2
Learn how to solve for two unknowns in two linear equations using the substitution method to make decisions like choosing between refrigerators based on cost and efficiency. Dive into a real-life scenario of selecting a refrigerator based on initial cost and long-term savings.
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