Final answer:
The student's question seems to involve finding systems of equations represented by lines q and v. However, without specific information about these lines, it's difficult to give a definitive answer. Generally, systems of equations in algebra can be represented by two or more linear equations graphed as lines on a coordinate plane.
Step-by-step explanation:
The student's question pertains to determining which systems of equations are represented by lines q and v. In mathematics, particularly in the field of algebra, systems of equations are sets of two or more equations that have variables in common and are solved simultaneously. The details provided in the question reference several scenarios, such as the plotting of Q and K values, vector equations involving a boat, river, and the Earth (VBE = VBR + VRE), and the conservation of momentum in the x and y directions. Another example involves a system of three equations with three unknowns.
In the context of graphs and physics, Q usually stands for a reaction quotient or charge, and K represents equilibrium constants or other constants, but without a specific context or reference to lines q and v in the question, it is challenging to provide a precise answer. Nevertheless, in algebra, if we are referring to lines q and v graphically, they might represent linear equations that can be expressed in the form y = mx + b, where 'm' is the slope and 'b' is the y-intercept. If two lines are represented on a graph, the system of equations consists of the equations of both lines.