exam Maths Puzzle Numerical Ability

State and prove relationship between Arithmetic Progression and Geometric Progression?

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I need your help with this please.
Solve the following system by substitution. If a unique solution does not exist, state whether the system is inconsistent or dependent. 5x - 2y = -5 and y - 5x = 3 Determine the area of triangle ABC given the following information:
A=12, B=13, C=5