Class 10 Exam > Class 10 Videos > 04 - Substitution Method (problem solving) - Class 10 - Maths
04 - Substitution Method (problem solving) - Class 10 - Maths Video Lecture
FAQs on 04 - Substitution Method (problem solving) - Class 10 - Maths Video Lecture
| 1. What is the substitution method in problem solving? |  |
Ans. The substitution method is a technique used in problem solving to find the value of one variable in terms of another variable. It involves solving one equation for one variable and then substituting that value into the other equation to find the value of the other variable.
| 2. How do you use the substitution method to solve a system of equations? | |
Ans. To solve a system of equations using the substitution method, follow these steps:
1. Solve one equation for one variable in terms of the other variable.
2. Substitute the expression obtained in step 1 into the other equation.
3. Solve the resulting equation to find the value of the remaining variable.
4. Substitute the value obtained in step 3 back into one of the original equations to find the value of the first variable.
5. Write the solution as an ordered pair (x, y).
| 3. Can the substitution method be used to solve any system of equations? | |
Ans. Yes, the substitution method can be used to solve any system of linear equations. However, it may not always be the most efficient method, especially when dealing with complex equations or large systems. In such cases, other methods like the elimination method or matrix methods may be more suitable.
| 4. What are the advantages of using the substitution method in problem solving? | |
Ans. The substitution method has several advantages in problem solving:
1. It is straightforward and easy to understand.
2. It can be used to solve systems of equations with any number of variables.
3. It is especially useful when one equation is already solved for a variable.
4. It provides a systematic approach to finding the values of variables in a system of equations.
| 5. Are there any limitations or drawbacks to using the substitution method? | |
Ans. While the substitution method is a useful technique, it does have some limitations:
1. It may involve complex algebraic manipulations, especially when dealing with equations with multiple variables.
2. It may not be the most efficient method for solving large systems of equations.
3. It may not always yield exact solutions, especially when dealing with equations that have no solution or infinitely many solutions.
4. It relies on the ability to solve equations algebraically, which may be challenging for some students.
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Dec 23, 2024 Last updated |
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