Question

Solve the following simultaneous equations:

x + y = 5; x − y = 3.

Answer 1

x + y = 5    ...(1)

x − y = 3    ...(2)

Adding equations (1) and (2),

x + y = 5
x − y = 3  
2x     = 8

`∴ x = 8/2`

∴ x = 4

Substituting x = 4 in equation (1),

x + y = 5

∴ 4 + y = 5

∴ y = 5 − 4

∴ y = 1

∴ (x, y) = (4, 1)