Linear equations in two variables – Exercise 4.4 – Class IX

  1. Give the geometric representations of y = 3 as an equation

(i) in one variable

(ii) in two variables

Solution:

(i) Equation in variable can be shown on the number line as

Linear equations in two variables - Exercise 4.4 – Class IX

(ii) We know that, y = 3 is similar to 0.x + y = 3

That means value of x can be any number but y should be 3 always irrespective of value of x.

Linear equations in two variables - Exercise 4.4 – Class IX


  1. Give the geometric representations of 2x + 9 = 0 as an equation

(i) in one variable

(ii) in two variables

Solution:

2x + 9 = 0

(i) As equation in one variable

2x = – 9

x = – 9/2

Linear equations in two variables - Exercise 4.4 – Class IX

(ii)Equation as two variables

2x + 9 = 0 can b e written as 2x + 0.y = 9

Here y can be any value but x remains constant i.e., –9/2. Therefore, 2x + 9 = 0 is a line parallel to y axis.

Linear equations in two variables - Exercise 4.4 – Class IX

 

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