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  • Write a pair of linear equations which has the unique solution x = – 1, y = 3. How many such pairs can you write

Write a pair of linear equations which has the unique solution x = – 1, y = 3. How many such pairs can you write?

Answers (1)

Solution:
Let the equations be
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Put x = –1 and y = 3 in given equations.
–a1 + 3b1 + c1 = 0 … (1)
–a2 + 3b2 + c2 = 0 … (2)
Since for different values of a1, b2, c1 and a2, b2, c2 we have different solutions.
Hence infinite many pairs having x = –1, y = 3 as solution.

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