Using the same axes of co-ordinates and the same unit, solve graphically :

x + y = 0 and 3x - 2y = 10.

(Take at least 3 points for each line drawn).

First equation: x + y = 0

Step 1:

Give at least three suitable values to the variable x and find the corresponding values of y.

Let x = 0, then 0 + y = 0 ⇒ y = 0

Let x = 1, then 1 + y = 0 ⇒ y = -1

Let x = 2, then 2 + y = 0 ⇒ y = -2

Step 2:

Make a table (as given below) for the different pairs of the values of x and y:

Step 3:

Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph.

Second equation: 3x - 2y = 10

Step 1:

Give at least three suitable values to the variable x and find the corresponding values of y.

Let x = 0, then 3 $\times$ 0 - 2y = 10 ⇒ y = -5

Let x = 1, then 3 $\times$ 1 - 2y = 10 ⇒ y = -3.5

Let x = 2, then 3 $\times$ 2 - 2y = 10 ⇒ y = -2

Step 2:

Make a table (as given below) for the different pairs of the values of x and y:

Step 3:

Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph.

Both the straight line drawn meet the point P. As it is clear from the graph, co-ordinates of the common point P are (2, -2).

Solution of the given equation x = 2 and y = -2.