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# Give the geometric representations of 2x + 9 = 0 as an equation (i) In one variable (ii) In two variables

The given linear equation is
$$\because$$ 2x + 9 = 0
$$\Rightarrow x = \frac{-9}{2}$$ ...(i)

(i) The representation of the solution on the number line is shown in the figure below, where x = $$\frac{-9}{2}$$ is treated as an equation in one variable.

ii)The representation of the solution on the number line is shown in the figure below, where 2x + 9 = 0 can be written as an equation in of two variable i.e., 2x + (0).y = -9

Here, if we observe, all the values of y are permissible as (0).y is always going to be 0.

However, x always has to satisfy the equation to 2x + 9 = 0.

Hence, graph of x = $$\frac{-9}{2}$$ will be a line parallel to y-axis and at a distance of $$\frac{-9}{2}$$ units along negative x- axis.