If a pair of linear equations is consistent the two lines represented by these equations definitely have a solution, this implies that either lines are intersecting or coincident.

Consistent Linear Equations:

When a pair of linear equations has at least one solution, it is called a consistent pair of linear equations. In other words, the lines represented by the equations will either intersect or coincide.

Explanation:

Parallel Lines:
- When two lines are parallel, they have the same slope but different y-intercepts.
- If we have a pair of linear equations with the same slope but different y-intercepts, the lines represented by these equations will never intersect.
- Therefore, parallel lines cannot be consistent pairs of linear equations.
- Hence, option 'A' is incorrect.

Coincident Lines:
- Coincident lines are two or more lines that lie on top of each other, meaning they have the same slope and y-intercept.
- If we have a pair of linear equations with the same slope and the same y-intercept, the lines represented by these equations will coincide.
- In this case, the equations are not only consistent but also dependent, as they represent the same line.
- Therefore, coincident lines can be consistent pairs of linear equations.
- Hence, option 'B' is incorrect.

Intersecting or Coincident Lines:
- When two lines intersect, they have different slopes and different y-intercepts.
- If we have a pair of linear equations with different slopes and different y-intercepts, the lines represented by these equations will intersect at a single point.
- In this case, the equations are consistent and independent, as they represent two different lines that intersect.
- Therefore, intersecting or coincident lines are consistent pairs of linear equations.
- Hence, option 'C' is correct.

Always Intersecting:
- If a pair of linear equations represents two lines with different slopes and different y-intercepts, they will always intersect at a single point.
- However, it is important to note that not all consistent pairs of linear equations will always intersect.
- There can be cases where the lines represented by the equations are parallel coincident lines, which means they will not intersect.
- Therefore, option 'D' is incorrect.

Conclusion:
When a pair of linear equations is consistent, it means that the lines represented by the equations will either intersect or coincide. Thus, the correct answer is option 'C' - Intersecting or coincident.