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03 - Substitution Method (explanation) Video Lecture - Class 10

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FAQs on 03 - Substitution Method (explanation) Video Lecture - Class 10

1. What is the substitution method in mathematics?
Ans. The substitution method is a technique used in mathematics to solve a system of equations. In this method, one variable is isolated in one equation and then substituted into the other equation. By doing so, the system of equations is reduced to a single equation with one variable, which can then be solved to find the values of the variables.
2. How does the substitution method work?
Ans. The substitution method works by solving one equation for one variable and then substituting that expression into the other equation. This eliminates one variable and reduces the system of equations to a single equation with one variable. By solving this equation, the values of the variables can be found.
3. When is the substitution method used in solving systems of equations?
Ans. The substitution method is used in solving systems of equations when one equation can be easily solved for one variable in terms of the other variable. This method is particularly useful when one equation is already solved for a variable or when one equation has a coefficient of 1 for one variable.
4. Are there any limitations or drawbacks to using the substitution method?
Ans. While the substitution method is a useful technique for solving systems of equations, it does have some limitations. One limitation is that it can become computationally intensive and time-consuming for systems of equations with multiple variables. Additionally, the method may not be applicable if the equations are non-linear or if the coefficients are complex.
5. Can the substitution method be used to solve any type of system of equations?
Ans. The substitution method can be used to solve any type of system of equations, as long as one equation can be easily solved for one variable in terms of the other variable. However, it may not be the most efficient method for systems with complex or non-linear equations. In such cases, other techniques like the elimination method or graphing method may be more suitable.
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