Resolving the following system of equations

Apuntes

Certainly! Here's a structured and corrected version of the system of equations for clarity and readability: --- **Resolving the following system of equations:** 1. \(30 - (8 - x) = 2y + 30\) 2. \(5x - 29 = x - (5 - 4y)\) 3. \(3x - (9x + y) = 5y - (2x + 9y)\) 4. \(4x - (3y + 7) = 5y - 47\) 5. \((x - y) - (6x + 8y) = - (10x + 5y + 3)\) 6. \((x + y) - (9y - 11x) = 2y - 2x\) 7. \(5(x + 3y) - (7x + 8y) = -6\) 8. \(7x - 9y - 2(x - 18y) = 0\) 9. \(2(x + y) = 4(y - 4x)\) 10. \(10y - x = 11y - 12x\) 11. \(12(x + 2y) - 8(2x + y) = 2(5x - 6y)\) 12. \(20(x - 4y) = -10\) 13. \(\frac{x + y}{6} - y - \frac{x}{3} = \frac{7}{24}\) 14. \(\frac{x}{2} + \frac{x - y}{6} = \frac{5}{12}\) 15. \(\frac{x - 2}{4} - y - \frac{x}{2} = x - 7\) 16. \(\frac{3x - y}{8} - 3y - \frac{x}{6} = y - 13\) 17. \(\frac{12 - 3x - 2y}{6} = 3y + 2\) 18. \(\frac{5y - 3}{3} = x - y\) 19. \(y(x - 4) = x(y - 6)\) 20. \(\frac{5}{x} - 3 - \frac{11}{y} - 1 = 0\) 21. \(\frac{3(x + 3y)}{5x} + 6y = \frac{21}{17}\) 22. \(\frac{4x - 7y}{2y + 1} = -2\) --- This version maintains all original equations, corrects formatting, punctuation, and spelling, and structures them clearly for solving.