Solving Simultaneous Equations Graphically

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The graphs of the straight lines with equations $y=12x+2\displaystyle y = \frac{1}{2}x + 2$ and $x + y = 5$ have been drawn on the grid.

A coordinate grid with x and y axes ranging from -2 to 8. Two straight lines are plotted. The first line, y = 0.5x + 2, passes through the points (0, 2), (2, 3), (4, 4), and (6, 5). The second line, x + y = 5, passes through the points (0, 5), (2, 3), and (5, 0). The two lines intersect at the point (2, 3).

Use the graphs to solve the simultaneous equations

\frac{1}{2}x + 2

x + y = 5

[2]

Solving Simultaneous Equations Graphically Questions

Practise Eduqas GCSE Maths Solving Simultaneous Equations Graphically with exam-style questions for Foundation and Higher tier. 20 questions, matched to the Eduqas GCSE Maths (C300QS) specification and written in Component 1 and Component 2 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.