Solve the equation `2x+1=x-3`and represent the solution(s)on (i) the number line(ii) the Cartesian plane.

Explanation

The given equation is 2x+1=x-3
`implies " " 2x-x= -3-1`
`therefore " " x= - 4`
and it can be written as `" " 1.x+0.y = - 4`
(i) Number line represent the all real values of x on the X-axis. Therefore, x= - 4 is exactly

(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.