Solving Simultaneous Equations Graphically

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The graphs of the straight lines with equations $y = 2 x - 2$ and $x + y = 4$ have been drawn on the grid.

A coordinate grid with x and y axes ranging from -2 to 6. Two straight lines are plotted. The first line, y = 2x - 2, passes through the points (0, -2), (1, 0), (2, 2), and (3, 4). The second line, x + y = 4, passes through the points (0, 4), (2, 2), and (4, 0). The two lines intersect at the point (2, 2).

Use the graphs to solve the simultaneous equations

y = 2 x - 2

x + y = 4

[2]

Solving Simultaneous Equations Graphically Questions

Practise AQA GCSE Maths Solving Simultaneous Equations Graphically with exam-style questions for Foundation and Higher tier. 20 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.