The linear equation 3x - 11y = 10 has

a) Unique solution

b) two solution

c) infinitely many solutions

Correct option: c) infinitely many solutions

Step-by-step explanation:

We have an equation with two variables, so as we have a system with less equations (just one) than variables (two), we have an infinite number of solutions.

To find some solutions, we can choose values for x and then just calculate the value of y:

x = 0:

-11y = 10 - > y = - 10/11

x = 1:

3 - 11y = 10 - > y = - 7/11

x = 2:

6 - 11y = 10 - > y = - 4/11

And so on.

So the correct option is c) : infinitely many solutions