MathsYears 10–11Algebra

Simultaneous equations

Solve simultaneous equations algebraically and graphically including one linear and one quadratic (Higher)

What you'll learn

  1. 1

    Imagine you have two scales that must balance at the same time. That's what simultaneous equations are — two puzzles that share the same numbers! 🎭

  2. 2

    If one equation says x + y = 5 and another says x - y = 1, how many unknowns are there?

  3. 3

    Let's balance the scales! Drag the numbers to make both equations true for the same x and y.

  4. 4

    Solve: 2x + y = 10 and x - y = 2. Let's do it together!

  5. 5

    From the worked example, what is y when x = 4?

  6. 6

    Now try this pair: x + y = 7 and x - y = 3. Find x and y using the number line!

  7. 7

    If x + y = 7 and x - y = 3, what is x?

Practise Simultaneous equations with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 14–16. Aligned to the UK National Curriculum.