Class 10 Exam > Class 10 Videos > Crash Course: Class 10 > Linear Equations in 2 Variables
Linear Equations in 2 Variables Video Lecture | Crash Course: Class 10
FAQs on Linear Equations in 2 Variables Video Lecture - Crash Course: Class 10
| 1. What are linear equations in 2 variables? |  |
Ans. Linear equations in 2 variables are algebraic equations that involve two variables, typically represented by x and y, and have a degree of 1. These equations can be written in the form ax + by = c, where a, b, and c are constants.
| 2. How do you solve linear equations in 2 variables? | |
Ans. To solve linear equations in 2 variables, you need to find the values of the variables that satisfy the equation. This can be done by using various methods such as substitution, elimination, or graphical representation. The goal is to simplify the equation and isolate one variable, then substitute its value back into the equation to solve for the other variable.
| 3. Can linear equations in 2 variables have multiple solutions? | |
Ans. Yes, linear equations in 2 variables can have multiple solutions. If the equation represents a line, then any point on that line will satisfy the equation. Therefore, there are infinitely many solutions. However, if the equation represents parallel lines, there will be no solution as the lines never intersect.
| 4. How can linear equations in 2 variables be represented graphically? | |
Ans. Linear equations in 2 variables can be represented graphically by plotting the points that satisfy the equation on a coordinate plane. Each point represents a solution to the equation. The resulting graph will be a straight line, and the slope of the line can provide information about the relationship between the variables.
| 5. What are the real-life applications of linear equations in 2 variables? | |
Ans. Linear equations in 2 variables have numerous real-life applications. They can be used to model and solve problems in various fields such as physics, economics, engineering, and social sciences. For example, they can be used to analyze the relationship between cost and quantity in business, predict population growth, or calculate the trajectory of a projectile.
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