Complete Solution:

• A linear equation in two variables 3x - 11y = 10 represents a straight line on the coordinate plane.
• Every point (x, y) that satisfies this equation lies on this line.
• Since a line extends infinitely in both directions, there are infinitely many points on this line.

There are infinitely many pairs (x, y) that satisfy the equation, Therefore the linear equation 3x - 11y = 10 has infinitely many solutions.