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Linear Equations in Two Variables Video Lecture | Quantitative Aptitude (Quant) - CAT

181 videos|146 docs|111 tests

Timeline

00:00 Forming linear equation in two variables
01:29 Solving the two linear equations
01:39 Writing one variable in terms of the other
02:30 Using transpose & adding both equations
03:53 Modifying the equations to find the solution
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FAQs on Linear Equations in Two Variables Video Lecture - Quantitative Aptitude (Quant) - CAT

1. What are linear equations in two variables?
Ans. Linear equations in two variables are algebraic equations that involve two variables and have a degree of 1. These equations can be expressed in the form of Ax + By = C, where A, B, and C are constants.
2. How do you solve a system of linear equations in two variables?
Ans. To solve a system of linear equations in two variables, you can use various methods such as substitution, elimination, or graphing. These methods involve manipulating the equations to eliminate one variable and find the values of the remaining variables.
3. Can linear equations in two variables have multiple solutions?
Ans. Yes, linear equations in two variables can have multiple solutions. If the equations represent the same line or have overlapping lines, they will have infinitely many solutions. However, if the equations represent parallel lines, they will have no solution.
4. How can linear equations in two variables be used in real-life situations?
Ans. Linear equations in two variables are widely used in real-life situations. They can be used in various fields such as physics, economics, and engineering to model and solve problems involving two variables. For example, they can be used to determine the cost and quantity of items, analyze supply and demand relationships, or predict the trajectory of a projectile.
5. Is it possible for a system of linear equations in two variables to have a unique solution?
Ans. Yes, it is possible for a system of linear equations in two variables to have a unique solution. If the equations represent two intersecting lines, they will have a unique point of intersection, which corresponds to the solution of the system. This solution can be found by solving the equations simultaneously.
181 videos|146 docs|111 tests

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