# Pair Of Linear Equations In Two Variables

#### Question 1:

Solve the following pair of linear equations by the elimination method and the substitution method:

#### Answer:

(i) **By
elimination method**

Multiplying equation (1) by 2, we obtain

Subtracting equation (2) from equation (3), we obtain

Substituting the value in equation (1), we obtain

**By substitution method **

From equation (1), we obtain

(5)

Putting this value in equation (2), we obtain

−5*y =* −6

Substituting the value in equation (5), we obtain

(ii) **By
elimination method **

Multiplying equation (2) by 2, we obtain

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