SSA8

Simultaneous Equations

Solve simultaneous linear and linear-quadratic equations algebraically and graphically.

Simultaneous Equations — Elimination, The Direct Case

Elimination — Creating Equal Coefficients by MultiplicationComplete the earlier lesson to unlock

The Substitution Method — And Choosing Between MethodsComplete the earlier lesson to unlock

Word Problems — Translating Language into Simultaneous EquationsComplete the earlier lesson to unlock

One Linear + One Quadratic — Substitution OnlyComplete the earlier lesson to unlock

Unit review reward

All 5 lessons in Simultaneous Equations

1. Simultaneous Equations — Elimination, The Direct Case

Recognise simultaneous equations, identify equal or opposite coefficients, and solve by elimination with back-substitution and verification.

2. Elimination — Creating Equal Coefficients by Multiplication

Multiply one or both equations to create equal coefficients, then apply the elimination method from Lesson 1 to any simultaneous linear equation pair.

3. The Substitution Method — And Choosing Between Methods

Make one variable the subject, substitute into the other equation, and solve; then select the most efficient method for any given simultaneous equation system.

4. Word Problems — Translating Language into Simultaneous Equations

Identify two unknowns and two constraints in a word problem, write one equation per constraint, and solve using any method from Lessons 1–3.

5. One Linear + One Quadratic — Substitution Only

Make the subject from the linear equation, substitute into the quadratic, and solve by factorisation to find two complete solution pairs.

Unit code SSA8