Question

Using graphical method, solve the following pair of equations.

x + 2y = 8 and 3x − 2y = 12

Answer 1

Given, x + 2y = 8  ...(i)

3x − 2y = 12  ...(ii)

From Eq. (i), we have

x = 8 − 2y

The table for values of x, corresponding to the values of y for Eq (i) is

x	8	0
y	0	4

From Eq. (ii), we have

3x = 12 + 2y 

x = `(12 + 2y)/3`

The table for values of x, corresponding to the values of y is

x	4	0
y	0	−6

Both the lines intersect each other at `(5, 3/2)`

So, x = 5 and y = `3/2`

Therefore, x = 5 and y = `3/2` is the solution of given pair of equations.