5. \( y=2 x+6 \) \( 2 x-y=2 \)

Let's dive into some history! Linear equations like the one you have date back to ancient civilizations, with early forms of algebra seen in Babylon around 2000 BC! They laid the groundwork for modern mathematics, with scholars like Al-Khwarizmi in the 9th century formalizing methods that would become crucial for solving equations. So when you're working with lines today, remember you’re part of a tradition that spans millennia! Now, onto a practical note! When faced with solving a system of equations, always look for substitution or elimination methods. A common mistake is misinterpreting a variable's value while substituting. Double-check your arithmetic there! And if you feel overwhelmed, graphing the lines can provide a visual insight that makes the solution clearer! Happy solving!