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Systems of Linear and Quadratic Equations

Related Topics:
Common Core (Algebra)
Common Core for Mathematics



Examples, solutions, videos, and lessons to help High School students learn how to solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3x and the circle x2 + y2 = 3.

Suggested Learning Targets

  • Solve a system containing a linear equation and a quadratic equation in two variables (conic sections possible) graphically and symbolically.
Common Core: HSA-REI.C.7

Solving Linear and Quadratic Systems
How to find the solutions to linear and quadratric systems given a graph, equations, or a context?



Systems of Equations - Circle and Linear Equations
Note: In the UK, Systems of Equations are called Simultaneous Equations.
How to solve Systems of Equations with Circle and Linear Equations?
Quadratic Systems of Equations (Conic Sections)
In this lesson, you will learn how to solve quadratic systems of equations using elimination and graphing.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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