Question

How many solution(s) of the equation 2x + 1 = x – 3 are there on the number line?

Answer 1

2x + 1 = x – 3

2x – x = – 3 – 1

∴ x = – 4  ...(i)

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

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

Therefore, x = – 4 is exactly one point which lies on the number line.

Representation on number line: