RD Chapter 13- Linear Equations in Two Variables Ex-13.1 |
RD Chapter 13- Linear Equations in Two Variables Ex-13.2 |
RD Chapter 13- Linear Equations in Two Variables Ex-13.3 |
RD Chapter 13- Linear Equations in Two Variables Ex-VSAQS |

Give the geometric representations of the following equations

(a) on the number line (b) on the Cartesian plane:

(i) x = 2 (ii) y + 3 = 0 (iii) y = 3 (iv) 2x + 9 = 0 (v) 3x – 5 = 0

**Answer
1** :

(i) x = 2

The representation of equation on the number line:

The representation of equation on the Cartesian plane:

(ii) y + 3 = 0

or y = -3

The representation of equation on the number line:

The representation of equation on the Cartesian plane:

(iii) y = 3

The representation of equation on the number line:

The representation of equation on the Cartesian plane:

(iv) 2x + 9 = 0

or x = -9/2

The representation of equation on the number line:

The representation of equation on the Cartesian plane:

(v) 3x – 5 = 0

or x = 5/3

The representation of equation on the number line:

The representation of equation on the Cartesian plane:

Give the geometrical representation of 2x + 13 = 0 as an equation in

(i) one variable (ii) two variables

**Answer
2** :

2x + 13 = 0

(i) Isolate given equation in x

Subtract 13 from both the sides

2x + 13 – 13 = 0 – 13

2x = -13

Divide each side by 2

x = -13/2 = -6.5

Which is an equation in one variable.

(ii) 2x + 13 = 0 can be written as 2x + 0y + 13 = 0

The representation of the solution on the Cartesian plane: A line parallel to y axis passing through the point (-13/2 , 0):

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