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Linear Equations in Two Variables Video Lecture | Crash Course: Class 10

FAQs on Linear Equations in Two Variables Video Lecture - Crash Course: Class 10

1. What is a linear equation in two variables?

Ans. A linear equation in two variables is an algebraic equation that represents a straight line on a graph. It can be written in the form "ax + by = c," where "a" and "b" are the coefficients of the variables "x" and "y," and "c" is a constant term.

2. How do you graph a linear equation in two variables?

Ans. To graph a linear equation in two variables, start by converting the equation into slope-intercept form, which is "y = mx + b." Here, "m" represents the slope of the line, and "b" represents the y-intercept. Once you have the equation in this form, plot the y-intercept on the graph and then use the slope to find additional points to plot. Finally, connect the points to draw the line.

3. Can a linear equation in two variables have multiple solutions?

Ans. No, a linear equation in two variables can have only one solution. This is because a linear equation represents a straight line on a graph, and a line can intersect another line at only one point. So, if two linear equations are graphed, the point of intersection is the solution.

4. What is the importance of linear equations in two variables?

Ans. Linear equations in two variables are important in various fields, including mathematics, physics, economics, and engineering. They provide a way to model and solve real-world problems involving relationships between two variables. For example, they can be used to analyze the supply and demand of goods, determine the trajectory of a projectile, or calculate the cost of production for a company.

5. How can linear equations in two variables be solved?

Ans. Linear equations in two variables can be solved using different methods, such as the substitution method, the elimination method, or by graphing. The substitution method involves solving one equation for one variable and then substituting that value into the other equation. The elimination method involves adding or subtracting the equations to eliminate one variable and solve for the other. Graphing involves plotting the equations on a graph and finding the point of intersection as the solution.

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Sep 20, 2025 Last updated

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