Solve the following system of simultaneous linear equations by the substitution method:

x + y = 14

x - y = 4

Given,

x + y = 14 ……(i)

x - y = 4 ………(ii)

From eqn. (ii) we get,

x = 4 + y.

Substituting above value of x in eqn. (i) we get,

⟹ (4 + y) + y = 14
⟹ 4 + 2y = 14
⟹ 2y = 14 - 4
⟹ 2y = 10
⟹ y = 5.

∴ x = y + 4 = 5 + 4 = 9.

Hence, x = 9 and y = 5.