3.2 Graphing Systems of Equations

Systems of Equations

In the last activity, you began exploring how to find a solution that works for two different linear functions. This is called a system of equations.

A system of equations is when two or more equations share the same variables. A solution to that system has to be true for all the equations, not just one. Think back to the last activity when we graphed two lines on the same coordinate plane. The green line represents the number pairs that had a difference of 8. The purple line represents the number pairs with a sum of 1.

Part I: Writing Equations

John and Brenda both recently graduated from Hightower University and started jobs as civil engineers at BuildIt Construction company.

Part II: Graphing

1. Complete the first two equations in the Desmos interactive using your equations from part 1. Do not close this page, you will continue using the graph to answer the following questions.

Part II: Building an Emergency Fund

1. Using the Family Budget Calculator, search for your county or closest major city. For each family, input the number of adults and children to find out the monthly income they would need in order to attain a modest yet adequate standard of living. Then, complete the first row of the table in question #15.