Question

Solve the following pair of linear equations by the substitution method.

x + y = 14 

x – y = 4

Answer 1

x + y = 14      ...(1)

x - y = 4        ...(2)

From (1), we obtain

x = 14 - y      ...(3)

Substituting this value in equation (2), we obtain

(14 - y) - y = 4

14 - 2y = 4

-2y = -10

y = 5         ...(4)

Substituting y = 5 in (3), we have

x = 14 - 5

=> x = 9

Hence, x = 9, y = 5