Equations with Two Unknowns
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)
Teaching approaches
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1 approach
Can your child find different pairs of numbers that both satisfy a rule — for example, all the pairs of whole numbers that add up to 10?
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)
Learning resources
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This concept
Check understanding
- 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
“Can your child find different pairs of numbers that both satisfy a rule — for example, all the pairs of whole numbers that add up to 10?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Algebra
- Age range
- Ages 10–11