Directions: Solve the following systems of linear

7.)

To solve the system of equations and , we can set the two equations equal to each other since they both equal :

Now, let’s isolate by moving to one side:

Next, divide both sides by 3:

Now that we have , we can substitute it back into either original equation to find . Let’s use :

Therefore, the solution to the system of equations is .

Now, let’s dive into the delicious world of linear equations! Did you know that the method of solving systems of equations dates back to ancient civilizations? Babylonians used geometric methods for problem-solving that laid the groundwork for algebraic thinking. Over time, more formalized methods have emerged, making solving these equations a breeze today.

In the real world, linear equations are everywhere! They help businesses predict costs and revenues, engineers design structures, and scientists model relationships between variables. So next time you optimize your budget or analyze data trends, remember that those linear equations you mastered in class are working behind the scenes to provide clarity and insight!