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NCERT Solutions for Class 9 Maths Chapter 4 - Chapter - 4 - Linear Equations in Two Variables

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FAQs on NCERT Solutions for Class 9 Maths Chapter 4 - Chapter - 4 - Linear Equations in Two Variables

1. What are linear equations in two variables?
Ans. Linear equations in two variables are equations that involve two variables, usually represented as x and y, and have a degree of one. The general form of a linear equation in two variables is ax + by + c = 0, where a, b, and c are constants.
2. How do you solve a linear equation in two variables?
Ans. To solve a linear equation in two variables, we need to find the values of the variables that satisfy the equation. This can be done by using different methods such as substitution method, elimination method, or graphical method. These methods involve manipulating the equations and finding the values of the variables that make both sides of the equation equal.
3. What is the importance of linear equations in two variables in real life?
Ans. Linear equations in two variables have many real-life applications. They are used in various fields like physics, economics, engineering, and business to model and solve problems. For example, they can be used to determine the cost of manufacturing a certain number of products, calculate the trajectory of a projectile, or analyze supply and demand in the market.
4. How do you graph a linear equation in two variables?
Ans. To graph a linear equation in two variables, we need to plot at least two points that satisfy the equation and then connect them with a straight line. We can choose any values for one variable and calculate the corresponding values for the other variable using the equation. Once we have two or more points, we can draw a line passing through them to represent the equation graphically.
5. Can linear equations in two variables have more than one solution?
Ans. Yes, linear equations in two variables can have more than one solution. They can either have one unique solution, no solution, or infinitely many solutions. The number of solutions depends on the relationship between the coefficients and constants in the equation. For example, if the equations are parallel, they will have no solution. If they are the same equation, they will have infinitely many solutions.
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