Back to MathematicsPractice this
Paper 2 & 3
Simultaneous Equations
Higher
Solutions are where graphs intersect.
Key Facts
- Elimination removes a variable.
- Substitution replaces a variable.
Topics Covered
Linear Systems
What you need to know
- •Use elimination or substitution.
- •Align coefficients to cancel.
Exam Tips
- Multiply one equation if needed before subtracting.
Linear & Quadratic
What you need to know
- •Substitute the linear equation into the quadratic.
- •Solve then substitute back.
Exam Tips
- Expect two solutions.
Key Terms
Substitution
Replace one variable using another equation.
Elimination
Add/subtract equations to remove a variable.
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Common Exam Questions
Solve x + y = 7 and x - y = 1.
3 marksmediumPaper 2
Model Answer
x = 4, y = 3
What examiners want to see
- ✓Add equations to eliminate y.
Solve y = x + 2 and x^2 + y = 10.
4 markshardPaper 3
Model Answer
x = 2 or x = -5
What examiners want to see
- ✓Substitute then solve quadratic.
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