Question

Use the graphical method to find the value of 'x' for which the expressions `(3x + 2)/(2) and (3)/(4)x - 2`

Answer 1

Let y = `(3x + 2)/(2)`

The table for y = `(3x + 2)/(2)` is

X	2	4	- 2
Y	4	7	- 2

Let y = `(3)/(4) x - 2`

The table for y = `(3)/(4) x - 2` is

X	4	- 4	8
Y	1	- 5	4

Now plot the points on a graph and we get the following required graph:

Thus, the value of 'x' is - 4.