CBSE Class 9 Concepts for Linear Equations in Two Variables (1). Learning the important concepts is very important for every student to get better marks in examinations. The concepts should be clear which will help in faster learning. The attached concepts made as per NCERT and CBSE pattern will help the student to understand the chapter and score better marks in the examinations.
Linear Equations in Two Variables
1. 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.
2. A linear equation in two variables is represented geometrically by a straight line the points of which make up the collection of solutions of equation. This is called the graph of the linear equation.
1. A linear equation in two variables has infinitely many solutions.
2. The graph of every linear equation in two variables 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 of x = k is a straight line parallel to the y –axis.
5. The graph of y = k is a straight line parallel to the x – axis.
6. An equation of the type y = mx represents a line passing through the origin, where m is a real number.
7. Every point on the line satisfies the equation of the line and every solution of the equation is a point on the line.
8. The solution of a linear equation is not effected when:
(i) The same number is added or subtracted from both the side of an equation.
(ii) Multiplying or dividing both the sides of the equation by the same non zero number.
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