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How many solutions) of the equation 2x + 1 = x – 3 are there on the
(ii) Cartesian plane?
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.