Question

Determine graphically the coordinates of the vertices of triangle, the equations of whose sides are given by 2y – x = 8, 5y – x = 14 and y – 2x = 1.

Answer 1

Given,

2y – x = 8

⇒ x = 2y – 8

y	0	4	5
x = 2y – 8	– 8	0	2

5y – x = 14

⇒ x = 5y – 14

y	3	4	2
x = 5y – 14	1	6	– 4

And y – 2x = 1

⇒ y = 1 + 2x

x	0	1	2
y = 1 + 2x	1	3	5

Plotting the above points and drawing lines joining them, we get the graphical representation:

Hence, the coordinates of the vertices of a triangle ABC are A(1, 3), B(2, 5) and C(–4, 2).