Solve the system.
y=-6x - 14 ------> equation A
5x - 3y = 19 -------> equation B
solve the system by substitution
substitute equation A in equation B
5x-3(-6x-14)=19
solve for x
5x+18x+42=19
23x=19-42
23x=-23
x=-1
Find the value of y
y=-6(-1) - 14
y=-8
therefore
the solution is the point (-1,-8)
see the attached figure to better understand the problem
the intersection point both graphs, is the solution of the system