**Which one of the following options is true, and why?**

** has**

** **

**(i) A unique solution (ii) Only two solutions (iii) Infinitely many solutions**

**Answer:**

Every linear equation consisting of two variables has infinite many solutions. Therefore, equation also has infinite many solutions. Hence, the answer is **(iii)**.

This is because after putting random value of in the equation, we get one unique value of y. Or, by putting random value of in the equation, we get one unique value of .

Let's take an example:

When I put in the given equation , we get

Therefore, (0, 5) is one of the infinite solutions.

When I put in the given equation , we get

Therefore, (1,8) is also one of the infinite solutions.

In the same way, we can put any random value of in the equation and can find corresponding value of .