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Question -

Draw the graph of each of the following linear equations in twovariables:

(i)(ii) (iii) y =3(iv) 3 = 2x + y



Answer -

(i) 

It can be observed that x = 0, y = 4and x = 4, y = 0 are solutions of the aboveequation. Therefore, the solution table is as follows.

x

0

4

y

4

0

The graph of this equation is constructed as follows.


(ii) 

It can be observed that x = 4, y = 2and x = 2, y = 0 are solutions of the aboveequation. Therefore, the solution table is as follows.

x

4

2

y

2

0

The graph of the above equation is constructed as follows.


(iii) y = 3x

It can be observed that x = −1, y =−3 and x = 1, y = 3 are solutions of theabove equation. Therefore, the solution table is as follows.

x

− 1

1

y

− 3

3

The graph of the above equation is constructed as follows.


(iv) 3 = 2x + y

It can be observed that x = 0, y = 3and x = 1, y = 1 are solutions of the aboveequation. Therefore, the solution table is as follows.

x

0

1

y

3

1

The graph of this equation is constructed as follows.

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