# Linear Equations in Two Variables Class 9 Notes Maths Chapter 8

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CBSE Class 9 Maths Notes Chapter 8 Linear Equations in Two Variables Pdf free download is part of Class 9 Maths Notes for Quick Revision. Here we have given NCERT Class 9 Maths Notes Chapter 8 Linear Equations in Two Variables.

## CBSE Class 9 Maths Notes Chapter 8 Linear Equations in Two Variables

1. Linear Equations: Any equation which can be put in the form ax + by + c = 0, where a, b and c are real numbers and a and b are not both zero is called a linear equation in two variables.
The solution of a linear equation is not affected when

• the same number is added to (or subtracted from) both the sides of the equation.
• you multiply or divide both the sides of the equation by the same non-zero number.
2. A linear equation in two variables has infinitely many solutions.
3. The graph of every linear equation in two variables is a straight line.
4. x = 0 is the equation of the y-axis and y = 0 is the equation of the x-axis.
5. The graph of x = a is a straight line parallel to the y-axis.
6. The graph of y = a is a straight line parallel to the x-axis.
7. An equation of the type y = mx represents a line passing through the origin.
8. 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 of the linear equation.
9. Graph of a Linear Equation in Two Variables: We know that a linear equation in two variables has infinitely many solutions. We write the solutions as a pair of values and plot, these points on a graph paper and join them to get a line.

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