Question

How many linear equation in x and y can be satisfied by x =1 and y =2?
Is it infinitely many?

Answer 1

Answer: yes it's Infinitely many

Step-by-step explanation:

On putting x = 1 and y = 2, in above equation we get

= a + 2b + c = 0

Here, different values of a, b and c satisfy a + 2b + c = 0. Hence, infinitely many linear equations in can be satisfied by x = 1 and y = 2.

Answer 2

Answer: There are infinitely many linear equations possible.

Linear equations: If an equation is written in the form of ax + by + c = 0, where a, b, and c are all real integers, then we say that the equation is linear in two variables.

Step-by-step explanation:

Step 1: Substituting x =1 and y = 2

Linear equation becomes $a+2b+c = 0 ----1$

Step 2: There are infinitely many values of a, b, and c that could satisfy equation 1.

So there are infinitely many linear equations possible.