we have that
5x+6y=10
4x+7y=19
using a graph tool
see the attached figure
Part A)
the solution is the point (-4,5)
x=-4
y=5
Part B)
we know that
If a system has at least one solution, it is said to be consistent .
If a consistent system has exactly one solution, it is independent
so
the equations are independent and consistent. Their graphs intersect at one point