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