Class 10 Exam > Class 10 Videos > Cross multiplication method ll pair of linear equations with two variables ll CBSE class 10
Cross multiplication method ll pair of linear equations with two variables ll CBSE class 10 Video Lecture
FAQs on Cross multiplication method ll pair of linear equations with two variables ll CBSE class 10 Video Lecture
| 1. What is the cross multiplication method for solving a pair of linear equations with two variables? |  |
Ans. The cross multiplication method is a technique used to solve a pair of linear equations with two variables. It involves multiplying each equation with the denominator of the other equation to eliminate the fractions and simplify the equations. After cross multiplying, the resulting equations can be solved to find the values of the variables.
| 2. How does the cross multiplication method work? | |
Ans. The cross multiplication method works by eliminating the fractions in a pair of linear equations with two variables. It involves multiplying each equation with the denominator of the other equation. This eliminates the fractions and simplifies the equations into linear equations with integer coefficients. The resulting equations can then be solved using standard methods like substitution or elimination to find the values of the variables.
| 3. When can the cross multiplication method be used to solve a pair of linear equations? | |
Ans. The cross multiplication method can be used to solve a pair of linear equations when both equations have fractions and the denominators are not zero. It is particularly useful when the coefficients of the variables in both equations are small integers, as it simplifies the equations and makes them easier to solve.
| 4. Are there any limitations or drawbacks to using the cross multiplication method? | |
Ans. Yes, there are limitations to using the cross multiplication method. It can only be used when both equations have fractions, and it may not be the most efficient method when the coefficients of the variables are large or have complex decimal values. In such cases, other methods like substitution or elimination may be more suitable.
| 5. Can the cross multiplication method be used to solve a system of three or more linear equations? | |
Ans. No, the cross multiplication method is specifically designed to solve a pair of linear equations with two variables. It cannot be directly applied to systems of three or more equations. For systems with three or more equations, other methods like substitution, elimination, or matrix methods are used.
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Nov 15, 2024 Last updated |
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