What is the solution set for the linear equation x=5?

The given linear equation ( x = 5 ) represents a vertical line on the Cartesian plane, where all points on this line have an x-coordinate of 5. This means that regardless of the value of y, the x-coordinate is fixed at 5.

In terms of solutions, since the equation defines a specific condition for x, there is only one particular solution for it, which is the point (5, y) where y can take any value. However, since the context of the solution set typically refers to how many distinct values can satisfy the equation, it is classified as having one solution when considering the x-variable alone.

Thus, the statement that there is one solution accurately represents the scenario in which the equation is strictly determining the value of x, leading to the conclusion that the solution set is defined by a single condition for x.