solve the equation 2x-3=5x+6 and represent the solution (s) on (i) the number line, (ii) the catesian plane.

Explanation

We have , 2x-3 = 5x+6 `rArr` 2x-5x=6+3 ltnrgt -3x=9 `rArr x =(9)/(-3) rArr x=-3`
(i) The representation of the solution on the number line is shown in figure where x = -3 is treated as an eqation in one variable. Actually x =-3 is a point in one variable

(ii) We know that x =-3 can be written as 1.x + a. y = -3 which is a linerar eqaution in two vaiables x and y. This is reprsented by a line . we also know that in cartesian plane , x =-3 is the eqatuion of a straight line parallel to y axis at a distance of 3 units left to the origin