Solve the equation 2x + 1 = x – 3, and represent the solution(s) on
(i) the number line (in one variable) (ii) the Cartesian plane (in two variable)
Solution
We solve
i.e.,
(i) The representation of the solution on the number line is shown in figure, where x = – 4 is taken as an equation in one variable.
(ii) x = −4 can be written as
which is a linear equation in the variables x and y. This is represented by a line.
Graph AB is a line parallel to the y-axis and at a distance of 4 units to the left of it.
