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Solving Simultaneous Equations Graphically

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Question 1
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The diagram shows two straight lines. The equations of the lines are y=2x+3y = 2x + 3y=2x+3 and y=5x−6y = 5x - 6y=5x−6.

A Cartesian coordinate system showing two intersecting straight lines. The x-axis and y-axis are labeled. One line (y=2x+3) has a positive gradient and a positive y-intercept. The second line (y=5x-6) has a steeper positive gradient and a negative y-intercept. They intersect in the first quadrant.

Work out the coordinates of the point where the lines intersect.

[3]

Solving Simultaneous Equations Graphically Questions

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

Practise AQA GCSE Maths Solving Simultaneous Equations Graphically with exam-style questions for Foundation and Higher tier. 16 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank

Writing a Ratio as a Fraction or Linear Function
Direct and Inverse Proportion
Reverse Percentages
Standard Form
Speed and Density
Changing the Subject of a Formula
Expanding and Factorising Quadratics
Solving Quadratics
Drawing Quadratic Graphs
Drawing Other Graphs: Cubic/Reciprocal
Simultaneous Equations
Solving Simultaneous Equations Graphically
Gradient of a Line
Equation of a Line
Spheres and Cones
Sector Areas and Arc Lengths
Similar Shapes (Lengths)
SOHCAHTOA (Trigonometry)
Exact trig values
Vectors
Probability Trees
Venn Diagrams