Pair of Linear Equations in Two Variables: Mathematics NCERT Solutions Class 10
Students may learn about and experiment with easy methods of solving linear equations thanks to NCERT answers for class 10 math chapter 3, Pair of Linear Equations in Two Variables. This chapter is frequently applied in industrial settings. It is employed to answer problems including speed-distance, money %, age, force, and pressure, among other variables. The elimination approach, the cross-multiplication method, and equations reducible to a pair of linear equations in two variables will all be covered by the students as algebraic methods for solving a pair of linear equations.
The typical form of a linear equation in two variables is ax + by + c = 0, where x and y are variables and a, b, and c are real integers, according to the NCERT answers for class 10 mathematics chapter 3 on Pair of Linear Equations in Two Variables. The constants and variables in this equation cannot both equal 0 at the same time. Such equations contain two values, one for each of the variables "x" and "y," making both sides of the equation equal. You may find some of them in the tasks provided below, as well as the chapter 3 pair of linear equations in two variables from the class 10 math NCERT answers.
Pair of Linear Equations in Two Variables:
- Two-variable pair of linear equations:
- x = a1 x + b1 y + c1 = 0 : y = a2 x + b2 y + c2 = 0
- The generic form of a set of linear equations that may be resolved using substitution and elimination techniques is represented by the first two equations.
- Cross Multiplication Method: If a pair of linear equations given by a1 x + b1 y + c 1 = 0 and a2 x + b2 y + c 2 = 0, then the following conditions are possible :
- a1/a2 ≠ b1/b1: depicting consistent pair of linear equations
- a1/a2 = b1/b2 ≠ c1/c2 : depicting inconsistent pair of linear equations
- a1/a2 = b1/b2 = c1/c2 : depicting dependent as well as consistent pair of linear equations
☛ Download NCERT Solutions Class 10 Maths, Chapter 3 Full
Class 10 Chapter 3
- Two-variable pair of linear equations:
- x = a1 x + b1 y + c1 = 0: y = a2 x + b2 y + c2 = 0
- Cross Multiplication Method: If a pair of linear equations given by a1 x + b1 y + c 1 = 0 and a2 x + b2 y + c 2 = 0, then the following conditions are possible :
- a1/a2 ≠ b1/b1: depicting consistent pair of linear equations
- a1/a2 = b1/b2 ≠ c1/c2 : depicting inconsistent pair of linear equations
- a1/a2 = b1/b2 = c1/c2 : depicting dependent as well as consistent pair of linear equations