Question

how many linear equation in x and y can be satisfied by x=1 and y=2?​

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 yean be satisfied by x = 1 and y = 2.

Answer 2

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From the graph, its clear that infinite straight lines can pass through the point (1,2).

So, infinite linear equation are possible satisfying x=1,y=2