Simultaneous Equations: Linear & Quadratic (GCSE Higher)

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About Course

Solve a linear equation and a quadratic equation together by substitution, including pairs involving circles. You will learn to pair x and y values correctly, interpret one or no solutions, and use the quadratic formula when the equation will not factorise.

This course is for general learning and revision. It is written by Tutwoo and is not produced or endorsed by any exam board. Always check your own exam board’s specification and your teacher’s guidance.

What Will You Learn?

  • Solve linear and quadratic simultaneous equations by substitution Pair each x value with the correct y value Use the quadratic formula when factorising is not possible Interpret two, one or no solutions geometrically

Course Content

Course Lessons

  • The substitution method
  • Circles and the quadratic formula
  • How many solutions? Interpreting and checking

Sources & Further Reading
The official guidance this course is based on.

Final Assessment

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