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Pair Of Linear Equations In Two Variables

Question 1:

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

Answer:

(i) x + y = 14 (1)

xy = 4 (2)

From (1), we obtain

x = 14 − y (3)

Substituting this value in equation (2), we obtain

Substituting this in equation (3), we obtain

(ii)

From (1), we obtain

Substituting this value in equation (2), we obtain

Substituting in equation (3), we obtain

s = 9

s = 9, t = 6

(iii)3xy = 3 (1)

9x − 3y = 9 (…

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