Mastering Simultaneous Equations
Mathematics
GCSE Higher
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A worksheet covering Simultaneous Equations for GCSE Higher students.
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Mastering Simultaneous Equations
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the basic methods for solving simultaneous equations. Recall that you can use substitution or elimination to find the values of variables x and y.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x and y:
2x + 3y = 12
x - y = 1
[3 marks]2.
Solve the simultaneous equations:
5x - 2y = 7
3x + y = 4
[3 marks]3.
Find the values of x and y:
3x + 4y = 20
-2x + y = -3
[3 marks]4.
Solve for x and y:
7x + y = 13
x - 2y = -3
[3 marks]5.
Simplify and solve the equations:
4x - y = 9
2x + y = 7
[3 marks]6.
Reasoning: If 3x + 2y = 10 and x + y = 4, what is the value of 2x + y?
[2 marks]7.
Apply elimination: Solve for x and y:
6x + 3y = 15
2x + y = 5
[3 marks]8.
A fruit shop sells apples and oranges. If the total cost of apples and oranges is £24, and 3 apples plus 2 oranges cost £10, find the cost of each fruit.
[4 marks]9.
Two numbers have a sum of 14. Their difference is 4. Find the numbers.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet