Question

How many linear equations in x and y can be satisfied by x=1 and y = 27​

Answer 1

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 y  be satisfied by x = 1 and y = 2.