A pair of equations consists of two mathematical statements with two variables. Solving them involves finding values of the variables that satisfy both equations. These can have unique solutions no solution or infinitely many solutions. Such equations are essential in algebra and real-life problem-solving as they help analyze relationships between quantities and make accurate predictions.
Class 10 Maths Chapter 3 deals with Pair of Linear Equations in Two Variables. It includes solving equations using substitution elimination and graphical methods. The chapter highlights conditions for unique infinite or no solutions. Students will apply these concepts to solve real-life problems. Preparing for CBSE Exam 2024-25 this chapter enhances problem-solving skills and logical thinking while building a strong foundation for advanced mathematical topics.
Share
The system of equations given is:
1. x – y = 2 .(i)
2. x + y = 4 .(ii)
Add (i) and (ii):
(x – y) + (x + y) = 2 + 4
⇒ 2x = 6
⇒ x = 3
Putting x = 3 in (i):
3 – y = 2
⇒ y = 1