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Equations with two unknowns.

Equations with two unknowns

Numihana · England Year 6

Equations with two unknowns

Practice sheet

Name: ______________
Date: ______________

Equations with two unknowns

1

x + y = 18. If x = 16, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: ________________
2

x + y = 16. If x = 14, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: ________________
3

x + y = 17. If x = 11, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: ________________
4

x + y = 4. If x = 0, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: ________________
5

x + y = 19. If x = 14, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: ________________
6

x + y = 11. If x = 9, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: ________________
Numihana · England Year 6 · Equations with two unknowns
Numihana · England Year 6

Equations with two unknowns

Answer key

Name: ______________
Date: ______________

Equations with two unknowns

1

x + y = 18. If x = 16, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: 2
2

x + y = 16. If x = 14, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: 2
3

x + y = 17. If x = 11, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: 6
4

x + y = 4. If x = 0, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: 4
5

x + y = 19. If x = 14, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: 5
6

x + y = 11. If x = 9, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: 2
Numihana · England Year 6 · Equations with two unknowns

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The skill behind this activity

Equations with two unknowns

Department for Education: mathematics programmes of study ↗

Year 6 → Algebra · Selected statutory skill. Pack 2.2.0 · source checked 2026-10-12.

For teachers and parents

Use the equality to find the missing partner for the given value. List further whole-number pairs systematically from zero upwards to show all possible solutions.

A common slip

An equation with two unknowns can have several pairs; the supplied value identifies one of them.

Curriculum coverage

Worked example

x + y = 7. If x = 5, what is y? Afterwards list the other non-negative whole-number pairs.

Answer: 2

Use the equality to find the missing partner for the given value. List further whole-number pairs systematically from zero upwards to show all possible solutions.