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Task 2—Non-Linear Systems of Equations

Create a system of equations that includes one linear equation and one quadratic equation.

Part 1. Show all work to solving your system of equations algebraically.

Part 2. Graph your system of equations, and show the solution graphically to verify your solution.

Task 4—Solving Rational Equations

Using the equation below as a model, fill in numbers in the place of a and b to create a rational equation that has an extraneous solution.

Part 1. Show all work to solve for x in the equation and check the solution.