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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

−5y = −6

Substituting the value in equation (5), we obtain

(ii) By elimination method

Multiplying equation (2) by 2, we obtain

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