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02 - Elimination Method (problem solving) - Class 10 - Maths Video Lecture
FAQs on 02 - Elimination Method (problem solving) - Class 10 - Maths Video Lecture
| 1. What is the elimination method in problem solving? |  |
| 2. How does the elimination method work in solving systems of linear equations? | |
Ans. The elimination method works by adding or subtracting the equations in a system to eliminate one variable. The goal is to create a new equation where one variable is eliminated, leaving a simplified equation with only one variable. This can then be solved to find the value of the remaining variable.
| 3. Can the elimination method be used for systems of nonlinear equations? | |
Ans. No, the elimination method is specifically designed for solving systems of linear equations. It relies on the linearity of the equations to simplify and eliminate variables. Nonlinear equations involve variables raised to powers or other nonlinear functions, which cannot be easily eliminated using this method.
| 4. Are there any limitations to using the elimination method in problem solving? | |
Ans. While the elimination method is a powerful tool for solving systems of linear equations, it has some limitations. It may not be efficient or practical to use for systems with large numbers of equations or variables. Additionally, if the coefficients of the equations are very large or have decimal values, it may lead to more complex calculations and potential errors.
| 5. Can the elimination method be used to solve systems of equations with three or more variables? | |
Ans. Yes, the elimination method can be extended to solve systems of equations with three or more variables. The process involves eliminating one variable at a time by combining equations in pairs. By repeating this process, it is possible to eliminate all but one variable, ultimately solving for each variable in the system.
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