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Pair of Linear Equations in Two Variables Video Lecture | General Test Preparation for CUET

159 videos|341 docs|385 tests

FAQs on Pair of Linear Equations in Two Variables Video Lecture - General Test Preparation for CUET

1. What is a pair of linear equations in two variables?
Ans. A pair of linear equations in two variables is a system of two equations that involve two variables, typically represented as x and y. These equations can be solved simultaneously to find the values of x and y that satisfy both equations.
2. How can I solve a pair of linear equations in two variables?
Ans. There are multiple methods to solve a pair of linear equations in two variables. The most common methods include substitution method, elimination method, and graphing method. These methods involve manipulating the equations to eliminate one variable and solve for the other.
3. Can a pair of linear equations have no solution?
Ans. Yes, a pair of linear equations can have no solution. This occurs when the two lines represented by the equations are parallel and never intersect. In such cases, the system of equations is said to be inconsistent.
4. Can a pair of linear equations have infinitely many solutions?
Ans. Yes, a pair of linear equations can have infinitely many solutions. This occurs when the two lines represented by the equations are coincident, meaning they overlap each other. In such cases, the system of equations is said to be dependent.
5. How are pair of linear equations used in real-life applications?
Ans. Pair of linear equations in two variables are widely used in various real-life applications. They can be used to solve problems related to cost and revenue analysis, mixture problems, optimization problems, and more. For example, they can help determine the optimal production levels of different products to maximize profits in a manufacturing company.
159 videos|341 docs|385 tests

Timeline

00:00 Linear Equations in 2 Variables
00:55 Case 1: Infinite Solutions
01:17 Case 2: No Solution
01:50 Case 3: Unique Solution
02:28 Example
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