Question

How many solutions of equation 2x+1=x-3 are there on the. (1) number line (2)Cartesian plane

Answer 1

Step-by-step explanation:

Given Linear equation in one variable x is

2x+1 = x -3 has only one solution.

=> 2x - x = -3 - 1

=> x = -4

1) Number line :

<--•(-4)---•(-3)---•(-2)---•(-1)---•(0)---•(1)---•(2)------->

2) Cartesian plane :

see the attachment.

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Answer 2

2x + 1 = x – 3

2x-x = -3-1

∴ x = – 4 ………..(i)

and it can be written as 1.x + 0. y = – 4 …………..(ii)

(i) Number line represent the all real values of x on the X-axis. Therefore, x = – 4 is exactly one point which lies on the number line.



(ii) Whereas the equation x + 4 = 0 represent a straight line parallel to Y-axis and infinitely many points lie on a line in the cartesian plane.