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A prerequisite knowledge graph of 1590 learning concepts across 8subjects. Track what you've mastered and see exactly what you're ready to learn next — the topics whose prerequisites you've already met. Built on the Marble Open Skill Taxonomy.

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Equations with Two Unknowns

Mathematics · Algebra · procedural

Find pairs of numbers that satisfy an equation with two unknowns (e.g. find pairs (a, b) where a + b = 10 or 2a + b = 15)

What mastery looks like

  • List all whole-number pairs (a, b) where a + b = 12 with a, b > 0
  • Find three pairs that satisfy 2x + y = 20
  • Explain systematically how to generate all integer solutions to a two-variable equation within a given range

Check your understanding

Can Equations with Two Unknowns find different pairs of numbers that both satisfy a rule — for example, all the pairs of whole numbers that add up to 10?

Prerequisites

Required first

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