Since the y-intercepts are the same and their slopes are different, they have a solution because if a slope is positive, the line would start from the origin and continuously increase and if a slope is negative, the line would start from the top and continuously decrease.A solution is an intersection between two lines. Please look at my graph for proof. The solution is (0,5).
Adjacent angles are two angles that have a common side and a common vertex (corner point), and don't overlap. Vertical angles are the angles opposite each other when two lines cross