Question

Solve the following pair of simultaneous equations graphically.

x − y + 1 = 0

x + y = 5

Answer 1

Given:

x − y + 1 = 0

y = x + 1

x + y = 5 

y = 5 − x

The two lines are:

y = x + 1

y = 5 − x

For y = x + 1

x	y = x + 1	(x, y)
0	1	(0, 1)
1	2	(1, 2)
2	3	(2, 3)
3	4	(3, 4)
4	5	(4, 5)

For y = 5 − x

x	y = 5 − x	(x, y)
0	5	(0, 5)
1	4	(1, 4)
2	3	(2, 3)
3	2	(3, 2)
4	1	(4, 1)

The given pair of simultaneous equations is (x, y) = (2, 3)