Simultaneous equations
AQA GCSE Maths revision on Simultaneous equations. Aligned to the AQA GCSE Mathematics 8300 specification. This bank has 16 practice questions on this topic.
Sample questions (3 of 16)
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Question 1
Solve: x + y = 7 and x - y = 1. Find x.
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Answer: 4
Adding the equations cancels y: (x+y) + (x-y) = 7 + 1 -> 2x = 8 -> x = 4. Substitute back: 4 + y = 7 -> y = 3.
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Question 2
Solve: 2x + y = 11 and x + y = 7. Find x.
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Answer: 4
Subtract the second from the first: (2x+y) - (x+y) = 11-7 -> x = 4. Then 4 + y = 7 -> y = 3.
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Question 3
Solve: 3x + 2y = 16 and x - y = 2. Find y.
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Answer: 2
Eliminate y: multiply x-y=2 by 2 -> 2x-2y=4. Add to 3x+2y=16: 5x = 20, x = 4. Substitute: 4 - y = 2, y = 2.
Want to test yourself on the remaining cards for this topic?
13 more questions on Simultaneous equations — plus mistakes tracking and spaced repetition across the whole Maths spec.