To solve the system of equations given by and , we can use the substitution or elimination method. Here, let’s isolate from the first equation: . Substituting this expression for into the second equation gives , simplifying to . Thus , leading us to . Plugging back into , we find . Therefore, the solution is .

Now, let’s see why systems of equations are a big deal! These nifty little gems pop up everywhere in real life—from budgeting your finances to figuring out how much pizza you can share among friends. They can help us understand how different variables relate to one another, giving a clearer picture of situations where multiple factors contribute to the outcome!

Solving systems, like the one you’ve just tackled, is all about exploring relationships. However, a common pitfall is misplacing signs during calculations—especially with negative numbers! Always double-check your operations, and remember: staying organized with each step can save you from costly little mistakes. So grab your pencil and paper, and keep on practicing!