Class 10 Exam  >  Class 10 Notes  >  Extra Documents, Videos & Tests for Class 10  >  Important Formulas: Pair of Linear Equations in Two Variables

Important Formulas: Pair of Linear Equations in Two Variables | Extra Documents, Videos & Tests for Class 10 PDF Download

An equation of the form ax + by + c = 0, where a, b and c are real numbers, such that a and b

are not both zero, is called a linear equation in two variables.

Important points to Note: 

  1.  A linear equation in two variable has infinite solutions
  2. The graph of every linear equation in two variable is a straight line
  3.  x = 0 is the equation of the y-axis and y = 0 is the equation of the x-axis
  4. The graph x=a is a line parallel to y -axis.
  5. The graph y=b is a line parallel to x -axis
  6. An equation of the type y = mx represents a line passing through the origin.
  7. Every point on the graph of a linear equation in two variables is a solution of the linear equation. Moreover, every solution of the linear equation is a point on the graph

Important Formulas: Pair of Linear Equations in Two Variables | Extra Documents, Videos & Tests for Class 10

Simultaneous pair of linear equation 
A pair of linear equation in two variables  
a1x + b1y + c1 = 0  
a2x + b2y + c2 = 0 

Graphically it is represented by two straight lines on Cartesian plane.

Important Formulas: Pair of Linear Equations in Two Variables | Extra Documents, Videos & Tests for Class 10Important Formulas: Pair of Linear Equations in Two Variables | Extra Documents, Videos & Tests for Class 10

The graphical solution can be obtained by drawing the lines on the Cartesian plane.
Algebraic Solution of system of Linear equation:
Important Formulas: Pair of Linear Equations in Two Variables | Extra Documents, Videos & Tests for Class 10

Important Formulas: Pair of Linear Equations in Two Variables | Extra Documents, Videos & Tests for Class 10

Important Formulas: Pair of Linear Equations in Two Variables | Extra Documents, Videos & Tests for Class 10

The document Important Formulas: Pair of Linear Equations in Two Variables | Extra Documents, Videos & Tests for Class 10 is a part of the Class 10 Course Extra Documents, Videos & Tests for Class 10.
All you need of Class 10 at this link: Class 10
5 videos|292 docs|59 tests

Top Courses for Class 10

5 videos|292 docs|59 tests
Download as PDF
Explore Courses for Class 10 exam

Top Courses for Class 10

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

ppt

,

Sample Paper

,

Viva Questions

,

mock tests for examination

,

pdf

,

Important Formulas: Pair of Linear Equations in Two Variables | Extra Documents

,

Important questions

,

Free

,

study material

,

practice quizzes

,

Summary

,

past year papers

,

MCQs

,

Videos & Tests for Class 10

,

Previous Year Questions with Solutions

,

video lectures

,

Important Formulas: Pair of Linear Equations in Two Variables | Extra Documents

,

Videos & Tests for Class 10

,

Important Formulas: Pair of Linear Equations in Two Variables | Extra Documents

,

Objective type Questions

,

Videos & Tests for Class 10

,

shortcuts and tricks

,

Semester Notes

,

Exam

,

Extra Questions

;