Final answer:
To find additional solutions for a system with given solutions, one typically uses substitution, elimination, or finds the intersection of lines. However, these methods are not applicable here due to only having two points from potentially the same line. Graphical methods could show the infinite solutions along the line containing both points.
Step-by-step explanation:
The question seeks to find additional solutions to a system of linear equations that already has two given solutions, (1,3) and (4,-2).
To find another solution, one would typically:
- Use substitution to solve for one variable in terms of the other and then plug that expression into the other equation to find its pair.
- Use elimination to add or subtract the equations to eliminate one variable, solving for the other.
- Find the intersection of lines, which refers to graphically determining the point where the two lines represented by the equations meet.
However, since we already have two solutions, we cannot find additional distinct solutions through these methods unless there are more equations or additional information provided. Hence, options A, B, and C are not applicable in this case. The existing solutions suggest that the equations form the same line, and there are infinitely many solutions along that line. Option D, using graphical methods, could be employed to visualize the solutions on a graph and understand that they lie on the same line.