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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

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