Question:
How many linear equations in x and y can be satisfied by x = 1 and y = 2?
(a) Only one
(b) Two
(c) Infinitely many
(d) Three
Solution:
(c) Let the linear equation be ax + by + c = 0.
On putting x = 1 and y = 2, in above equation we get
=s a + 2b + c = 0, where a, b and c, are real number
Here, different values of a, b and c satisfy a + 2b + c = 0. Hence, infinitely many linear
equations in x and yean be satisfied by x = 1 and y = 2.
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