What are the different ways you can solve a system of linear equations in two variables? what is the process for solving a system using each method? what are the benefits and limitations to each method? when is it best to use each method? what are the different types of solutions that you can get when you solve a system of linear equations? describe the graphs of these different types of systems. explain how using systems of equations might you find a better deal on renting a car . describe different situations in the real world that could be modeled and solved by a system of equations in two variables ( do not use the example listed before).

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.