IP EMaths Notes (Upper Sec, Year 3-4): 05) Simultaneous Equations and Word Problems

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.

Simultaneous equations convert real-world statements into solvable algebra. Choose the method - substitution, elimination, or graphical - that minimises manipulation.

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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 $\$48$ and student tickets cost $\$32$. At a weekend concert, $360$ tickets are sold for a total of $\$14400$. How many of each ticket type were sold?