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📰 Solution: Solve the system. From the second equation, $ x = y + 2 $. Substitute into the first: $ 2(y + 2) + y = 10 \Rightarrow 2y + 4 + y = 10 \Rightarrow 3y = 6 \Rightarrow y = 2 $. Then $ x = 2 + 2 = 4 $. The intersection is $ \boxed{(4, 2)} $. 📰 Question: If $ x + \frac{1}{x} = 5 $, find $ 2x^2 + \frac{2}{x^2} $. 📰 Solution: Square both sides: $ x^2 + 2 + \frac{1}{x^2} = 25 \Rightarrow x^2 + \frac{1}{x^2} = 23 $. Multiply by 2: $ 2x^2 + \frac{2}{x^2} = 46 $. Final answer: $ \boxed{46} $.Question: In a sustainable desert agriculture project, the combined water efficiency of two systems is modeled by $ a + b = 10 $ and $ a^2 + b^2 = 58 $. Determine the total water efficiency cubed, $ a^3 + b^3 $. 📰 Best Co Op Pc Games 7220065 📰 Karla Sofia 4211889 📰 S A R To Inr 1358786 📰 Folder Microsoft 4831123 📰 Stephanie Haridopolos 4259307 📰 Basketball Coach Vacancy 5691770 📰 Installing Windows 11 On Non Supported Hardware Heres What Makes It Possible 5205299 📰 You Wont Believe Where The Packers And Cardinals Game Is Going Live 5997160 📰 Discover The Secret Homes And Hidden Trails That Make Hilton Head Unforgettable 2833788 📰 Jax Burgers 8868305 📰 Ulterior Motives Before2010 9538255 📰 This Fotorama Reveal Will Make You Snap Photos Differently Forever 5442779 📰 The Shocking Breakthrough Grant Morrison Never Told You About 6650430 📰 You Wont Believe What Happened When They Used Edias Name 7272499 📰 Tamarack Golf Course 6958001