How many solution(s) of the equation 2x + 1 = x - 3 are there on the:
(i) Number line
(ii) Cartesian plane

Solution:

Given, the equation is 2x + 1 = x - 3

We have to find the number of solutions of the equation.

(i) solutions of the equation on the number line

The equation 2x + 1 = x - 3 can be rewritten as

2x - x + 1 = -3

x = -3 - 1

x = -4

Number line represents all real values of x lying on the x-axis.

Therefore, x = -4 is the only point which lies on the number line.

(ii) solutions of the equation on the cartesian plane

The equation on the cartesian plane can be written as x + 0y = -4

The equation can be rewritten as x + 4 = 0

The equation x + 4 = 0 is a straight line parallel to y-axis.

The equation has infinitely many solutions.

✦ Try This: How many solution(s) of the equation 3x + 2 = 2x - 4 are there on the: (i) Number line, (ii) Cartesian plane

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

NCERT Exemplar Class 9 Maths Exercise 4.3 Problem 7

How many solution(s) of the equation 2x + 1 = x - 3 are there on the: (i) Number line, (ii) Cartesian plane

Summary:

The equation 2x + 1 = x - 3 has (i) one solution x = -4 on the number line, (ii) infinitely many solutions on the cartesian plane

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