Activity 4 Learning outcome: Solve a linear system of equations in two and three variables using algebraic methods. Read and solve word problems by modeling them with systems of linear equations. Activity: Joyce is hosting a major social event at her home. Joyce's landlord has imposed two restrictions. First, the total number of people attending adults and children combined) must be 56. Second, there must be one adult for every seven children. How many adults and how many children can Joyce invite to her event? Construct a system of linear equations that can model this situation and then solve the system by the method of your choice.