Using the same axes of coordinates and the same unit, solve graphically.

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

Given,

Equation :

⇒ x + y = 0

⇒ y = -x ………….(1)

When, x = 0, y = 0,

x = 1, y = -(1) = -1,

x = 2, y = -(2) = -2.

Table of values for equation (1)

Steps of construction :

1. Plot the points (0, 0), (1, -1) and (2, -2) on graph paper.

2. Connect points by straight line.

Given,

Equation :

⇒ 3x - 2y = 10

⇒ 2y = 3x - 10

⇒ y = $\dfrac{3}{2}x - 5$ …………(2)

When, x = 0, y = $\dfrac{3}{2} \times 0 - 5$ = 0 - 5 = -5,

x = 2, $y = \dfrac{3}{2} \times 2 - 5$ = 3 - 5 = -2,

x = 4, $y = \dfrac{3}{2} \times 4 - 5$ = 6 - 5 = 1.

Table of values for equation (2)

Steps of construction :

1. Plot the points (0, -5), (2, -2) and (4, 1) on graph paper.

2. Connect points by straight line.

The graphs of both the straight lines are shown in the figure.

The lines intersect at point A(2, -2).

Hence, the solution of the given equations is x = 2, y = -2.