CBSE Class 9 Mathematics Linear Equations In Two Variables Worksheet Set 06

CBSE Class 9 Linear Equations in Two Variables (5)

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(A) Main Concepts and Results

An equation is a statement in which one expression equals to another expression. An

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

a ≠ 0 and b ≠ 0, is called a linear equation in two variables. The process of finding

solution(s) is called solving an equation.

The solution of a linear equation is not affected when

(i) the same number is added to (subtracted from) both sides of the equation,

(ii) both sides of the equation are multiplied or divided by the same non-zero

number.

Further, a linear equation in two variables has infinitely many solutions. The graph of

every linear equation in two variables is a straight line and every point on the graph

(straight line) represents a solution of the linear equation. Thus, every solution of the

linear equation can be represented by a unique point on the graph of the equation. The

graphs of x = a and y = a are lines parallel to the y-axis and x-axis, respectively.

(B) Multiple Choice Questions

Write the correct answer:

Sample Question 1 : The linear equation 3x – y = x – 1 has :

(A) A unique solution (B) Two solutions

(C) Infinitely many solutions (D) No solution

Solution : Answer (C)

Sample Question 2 : A linear equation in two variables is of the form

ax + by + c = 0, where

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