MathsYears 12–13Algebra and Functions

Simultaneous equations

Solve simultaneous equations including one linear and one quadratic; interpret geometrically

What you'll learn

  1. 1

    Imagine you have two scales — one with 🍎 and 🍌, the other with 🍎 and 🍌 too. Each scale tells you something different about the same fruit!

  2. 2

    If one scale says 🍎 + 🍌 = 10 and the other says 🍎 − 🍌 = 2, what does 🍎 equal?

  3. 3

    Let's solve: x + y = 12 and x − y = 4.

  4. 4

    Solve: 2x + y = 14 and x − y = 1.

  5. 5

    If 3x + 2y = 18 and x − y = 1, what is x?

  6. 6

    Try elimination: 2x + 3y = 7 and 4x − 3y = 5.

  7. 7

    Solve: 5x + y = 20 and 2x − y = 1. What is y?

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