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Linear Equations in 2 Variables Video Lecture | Mathematics (Maths) Class 9

48 videos|378 docs|65 tests

FAQs on Linear Equations in 2 Variables Video Lecture - Mathematics (Maths) Class 9

1. What is a linear equation in two variables?
Ans. A linear equation in two variables is an equation of the form ax + by = c, where a, b, and c are constants, and x and y are variables. It represents a straight line on a coordinate plane and has infinite solutions.
2. How do you graph a linear equation in two variables?
Ans. To graph a linear equation in two variables, we need to find at least two points on the line. We can do this by selecting any values for x and solving the equation to find the corresponding y values. Once we have two or more points, we can plot them on a coordinate plane and connect them to form a straight line.
3. Can a linear equation in two variables have no solution?
Ans. Yes, a linear equation in two variables can have no solution. This occurs when the lines represented by the equation are parallel and never intersect. In such cases, the system of equations is inconsistent, and there is no common solution.
4. What is the importance of solving linear equations in two variables?
Ans. Solving linear equations in two variables is essential in various real-life applications. It helps in determining the relationship between two variables, finding the point of intersection of two lines, predicting future values based on existing data, and solving optimization problems.
5. How can linear equations in two variables be used to model real-world scenarios?
Ans. Linear equations in two variables can be used to model real-world scenarios by representing the relationship between two quantities. For example, they can be used to model the cost of a product based on the number of items purchased, the revenue generated by selling a certain number of units, or the distance traveled as a function of time. By solving these equations, we can make predictions and analyze the behavior of the variables involved.
48 videos|378 docs|65 tests
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