x + y = 8, x – y = 2

(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.