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What a solution means

What a solution means

Graph of the lines 3x+2y=18 and 5x-2y=14 intersecting at (4,3) with axes labelled

On a graph, each equation is represented as a line. The solution to simultaneous equations is the point where the two lines intersect, because that point lies on both lines.

Simultaneous Equations Lesson

  1. GCSE
  2. /Maths
  3. /Simultaneous Equations

Step-by-step lessons covering OCR GCSE Maths Simultaneous Equations for Foundation and Higher tier. Each lesson works through exam-style questions in the written papers format. Build fluency with number, ratio and algebra first, since geometry, probability and statistics topics rely on them, and leave extra time nearer the exam for Higher-tier problem-solving and multi-step reasoning questions.

Lessons

Writing a Ratio as a Fraction or Linear FunctionDirect and Inverse ProportionReverse PercentagesStandard FormSpeed and DensityChanging the Subject of a FormulaExpanding and Factorising QuadraticsSolving QuadraticsDrawing Quadratic GraphsSimultaneous EquationsSolving Simultaneous Equations GraphicallyGradient of a LineEquation of a LineSpheres and ConesSector Areas and Arc LengthsSimilar Shapes (Lengths)Exact trig valuesProbability TreesVenn Diagrams