Question

Solve the following pair of linear equations by substitution method:  

x + y = 14; 

x – y = 4

Answer 1

Given equations are

x + y = 14 …(i)

x – y = 4 …(ii)

From eqⁿ (ii), x = 4 + y …(iii)

On substituting x = 4 + y in eqⁿ (i), we get

⇒ 4 + y + y = 14

⇒ 4 + 2y = 14

⇒ 2y = 14 – 4

⇒ 2y = 10

⇒ y = 10/2 = 5

Now, on putting y = 5 in eqⁿ (iii), we get

⇒ x = 4 + 5

⇒ x = 9

Thus, x = 9 andy = 5 is the required solution.