IP EMaths Notes (Upper Sec, Year 3-4): 05) Simultaneous Equations and Word Problems
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Blend substitution and elimination to model two-variable contexts quickly and accurately.
Last updated 30 Nov 2025
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- Start Here
- Strategy snapshot
- Worked example - Ticket mix at a concert
- Worked example - Substitution with an explicit subject
Q: What does IP EMaths Notes (Upper Sec, Year 3-4): 05) Simultaneous Equations and Word Problems cover?
A: Blend substitution and elimination to model two-variable contexts quickly and accurately.
Start Here
| Read time | What to take away |
| 1 second | Turn two unknowns into two equations, then remove one unknown at a time. |
| 10 seconds | Use substitution when one variable is already isolated. Use elimination when matching coefficients can cancel a variable cleanly. Always translate the final numbers back into the story. |
| 100 seconds | Follow the ticket and mixture examples to practise the full loop: define variables, write equations from the context, solve algebraically, and check whether the answer is realistic. |
Simultaneous equations convert real-world statements into solvable algebra. Choose the method - substitution, elimination, or graphical - that minimises manipulation.
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These notes align with SEAB GCE O-Level Mathematics (4052) content used in IP programmes (exams from 2026).
Status: SEAB O-Level Mathematics 4052 syllabus (exams from 2026) checked 2025-11-30 - scope unchanged; remains the reference for these notes.
Strategy snapshot
- Rearrange one equation to make a variable the subject for substitution.
- In elimination, line up coefficients so one variable cancels cleanly.
- Always interpret the algebraic solution back in context to check feasibility.
Worked example - Ticket mix at a concert
Adult tickets cost
