Index: Pair of Linear Equations in Two Variables

# Index: Pair of Linear Equations in Two Variables | Mathematics (Maths) Class 10 PDF Download

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## Mathematics (Maths) Class 10

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## FAQs on Index: Pair of Linear Equations in Two Variables - Mathematics (Maths) Class 10

 1. What is a pair of linear equations in two variables?
Ans. A pair of linear equations in two variables is a set of two equations that can be represented by straight lines on a graph. These equations contain two variables, usually represented by x and y, and the goal is to find the values of x and y that satisfy both equations simultaneously.
 2. How to solve a pair of linear equations in two variables?
Ans. To solve a pair of linear equations in two variables, you can use methods like substitution, elimination, or graphical representation. The substitution method involves solving one equation for one variable and substituting it into the other equation. The elimination method involves adding or subtracting the equations to eliminate one variable and solve for the other. The graphical method involves plotting the equations on a graph and finding the point of intersection.
 3. What is the importance of solving linear equations in two variables?
Ans. Solving linear equations in two variables is important because it helps in solving real-life problems that involve multiple variables. These equations can represent relationships between different quantities, such as cost and quantity, speed and time, or supply and demand. By solving these equations, we can determine the values of the variables and make informed decisions based on the given conditions.
 4. Can a pair of linear equations in two variables have more than one solution?
Ans. Yes, a pair of linear equations in two variables can have more than one solution. This occurs when the two equations represent the same line, meaning they are dependent on each other. In such cases, any point on the line will satisfy both equations. These infinite solutions can be represented by a single equation with one variable.
 5. Are there any real-life applications of solving linear equations in two variables?
Ans. Yes, there are numerous real-life applications of solving linear equations in two variables. Some examples include calculating the intersection point of two roads or railways, determining the break-even point in business analysis, optimizing production levels based on cost and demand constraints, and finding the equilibrium point in economics. These equations provide a mathematical framework for solving various problems in different fields.

## Mathematics (Maths) Class 10

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