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Elimination Method Part 2 Video Lecture - Class 10

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FAQs on Elimination Method Part 2 Video Lecture - Class 10

1. What is the elimination method in algebra?
Ans. The elimination method in algebra is a technique used to solve a system of linear equations by adding or subtracting the equations in a way that cancels out one of the variables. This allows us to solve for the remaining variable and find the solution to the system of equations.
2. How does the elimination method work?
Ans. The elimination method works by manipulating the given system of equations in order to eliminate one of the variables. This is done by multiplying one or both equations by appropriate constants so that when the equations are added or subtracted, one of the variables has the same coefficient, but with opposite signs. This allows us to eliminate the variable and solve for the remaining variable.
3. When is the elimination method useful in solving equations?
Ans. The elimination method is useful in solving equations when we have a system of linear equations with two variables. It is particularly effective when the coefficients of one variable in both equations are the same or multiples of each other. In such cases, the elimination method simplifies the process of finding the solution compared to other methods like substitution or graphing.
4. Can the elimination method be used for non-linear equations?
Ans. No, the elimination method is specifically designed for solving systems of linear equations. It relies on the cancellation of variables with opposite signs and would not work for non-linear equations, where the variables are raised to powers or appear in functions other than simple linear terms.
5. Are there any limitations or drawbacks to using the elimination method?
Ans. While the elimination method is a powerful tool for solving systems of linear equations, it does have some limitations. It may not always be applicable or efficient in certain cases where the coefficients of the variables are complex or involve fractions. Additionally, if the coefficients of both equations are the same or multiples of each other, the method may lead to an inconsistent or dependent system, which means there is no unique solution. In such cases, alternative methods may need to be employed.
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