(i) x + y = 8, x – y = 2
X + Y = 8
X
|
0
|
8
|
1
|
Y
|
8
|
0
|
7
|
(X,Y)
|
(0,8)
|
(8,0)
|
(1,7)
|
Put x = 0
∴ 0 + y = 8
∴ y = 8
|
Put x = 8
∴ 8 + y = 8
∴ y = 8 – 8
∴ y = 0
|
Put x = 1
∴ 1 + y = 8
∴ y = 8 – 1
∴ y = 7
|
x – y = 2
X
|
2
|
3
|
4
|
Y
|
0
|
1
|
2
|
(X,Y)
|
(2,0)
|
(3,1)
|
(4,2)
|
Put y = 0
∴ x – 0 = 2
∴ x = 2
|
Put y = 1
∴ x – 1 = 2
∴ x = 2 + 1
∴ x = 3
|
Put y = 2
∴ x – 2 = 2
∴ x = 2 + 2
∴ x = 4
|
x = 5 and y = 3 is the solution of given simultaneous equations.
