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Pair Of Linear Equations In Two Variables

Question 1:

Solve the following pairs of equations by reducing them to a pair of linear equations:

Answer:

Let and, then the equations change as follows.

Using cross-multiplication method, we obtain

Putting and in the given equations, we obtain

Multiplying equation (1) by 3, we obtain

6p + 9q = 6 (3)

Adding equation (2) and (3), we obtain

Putting in equation (1), we obtain

Hence,

Substituting in the given equations, we obtain

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