\( x_{1}+2 x_{2}=-13 \) \( -x_{1}-x_{2}=9 \) \( x_{1}= \) Ex: 42 \( x_{2}= \) Ex: 42

Let’s not just jump into solving those equations; instead, let's have a little fun! Back in the day, systems of linear equations were used by merchants to decide how much of each product to buy based on supply and demand. Taking into account different variables to optimize profits sounds like an ancient balancing act, doesn't it? Now, how do you tackle this? A common trick is to use substitution or elimination. With these equations, you could add the first equation to the second—watch those negatives cancel out! Just remember, it’s easy to slip up if you forget to flip signs when moving variables around. Stay sharp, and you'll impress your math teacher with your great algebra skills!