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Did you know that solving linear equations was one of the earliest applications of algebra in ancient civilizations? The Babylonians were solving linear equations more than 3,500 years ago! They used intricate methods and clay tablets to record their findings, laying the groundwork for algebra as we know it today. It’s fascinating how some of these techniques have evolved into what we learn in school!
When solving these equations, a common mistake is failing to properly isolate the variable. For instance, in an equation like , forgetting to add 2 before dividing by 3 can lead to incorrect solutions. Always double-check your steps: balance the equation as you isolate variables to ensure you’re working towards the right answer! Keep practicing, and it will become second nature!