Final answer:
A consistent system of linear equations is identified by two lines having different slopes, which means they intersect at a single point, indicating a unique solution.
Step-by-step explanation:
To identify the type of system for a given pair of lines, one must understand how the slopes of the lines relate to one another. When examining lines A and B, the steepness and direction of these slopes are important. Given that line A has a slope of -4.7 and line B has a slope of 12.0, these lines have different slopes and will therefore intersect at exactly one point. This means the system of equations that these lines represent is consistent, as they will have a unique solution where they intersect.