To solve the system of equations, let’s start by expressing one variable in terms of the other. From the first equation, you can isolate :

Now, substitute into the second equation:

This simplifies to:

Now that we know , we can substitute it back into the equation for :

So, the solution to the system of equations is and .

Fun Fact: The method we just used is called substitution. It’s a fantastic tool when dealing with linear equations, allowing you to simplify the problem by tackling one variable at a time!

Real-World Application: Systems of equations like these come in handy when managing budgets, resource allocation, or even during project planning, where you need to balance multiple constraints to find a feasible solution. They help decision-makers to optimize their resources effectively!