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Basics of Linear Equations in Two Variables Video Lecture | Mathematics (Maths) Class 9
FAQs on Basics of Linear Equations in Two Variables Video Lecture - Mathematics (Maths) Class 9
| 1. How do you graph a linear equation in two variables? |  |
Ans. To graph a linear equation in two variables, you can use the slope-intercept form (y = mx + b) to identify the y-intercept and slope. Plot the y-intercept on the y-axis, and then use the slope to find additional points to plot on the graph. Connect the points to create a straight line.
| 2. What is the importance of solving a system of linear equations in two variables? | |
Ans. Solving a system of linear equations in two variables helps in finding the point of intersection between the two lines represented by the equations. This point represents the solution to the system and can provide valuable information in real-life situations such as economics, physics, and engineering.
| 3. How can you determine if a system of linear equations in two variables has no solution? | |
Ans. If a system of linear equations in two variables has no solution, it means that the two lines represented by the equations are parallel and do not intersect. This can be determined by looking at the slopes of the two lines - if the slopes are equal but the y-intercepts are different, the system has no solution.
| 4. What is the difference between consistent and inconsistent systems of linear equations in two variables? | |
Ans. A consistent system of linear equations in two variables has at least one solution, meaning the lines represented by the equations intersect at a single point. An inconsistent system has no solution, indicating that the lines are parallel and do not intersect.
| 5. How can you use the substitution method to solve a system of linear equations in two variables? | |
Ans. In the substitution method, you solve one of the equations for one variable and then substitute that expression into the other equation. This allows you to solve for the remaining variable and find the values of both variables to determine the solution to the system.
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