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

Answer 1

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.