What is a solution of a linear equation in two variables?

There may be infinite solutions.

Step-by-step explanation:

The solution of a linear equation in two variables can be of infinite numbers.

When there are two variables, then two linear equations are required to get a definite solution. But one linear equation with two variables is not sufficient to get a definite solution.

So, there will be infinite numbers of solutions of a two-variable single linear equation.

Let us assume the linear equation is ax + by = c. Therefore, for each and every distinct value of x there will be a distinct value of y and those each set of x and y values are solutions of the linear equation. Therefore, there may be infinite solutions. (Answer)