To determine which system of linear equations has the solution of \((-1, 4)\), we need to identify the intersection point of the lines.
A solution to a system of linear equations represents the point where the lines intersect. Therefore, to find the correct option, we should look for the intersection point that matches \((-1, 4)\).
Among the options provided, only the last option states that the lines intersect at \((-1, 4)\). Thus, the system of linear equations that appears to have a solution of \((-1, 4)\) is:
On a coordinate plane, 2 lines intersect at (–1, 4).