Mastering Simultaneous Equations
Mathematics
Year 9
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About This Worksheet
A worksheet covering Simultaneous Equations for Year 9 students, focusing on solving systems using various methods.
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Mastering Simultaneous Equations
Subject: MathematicsGrade: Year 9
Name:
Date:
Untitled Worksheet
Grade Year 9
A
Introduction
Review the key methods for solving simultaneous equations: substitution and elimination. Remember to check your solutions by substituting back into the original equations.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve the system: 2x + y = 7 and x - y = 1.
[2 marks]2.
Solve for x and y: 3x - y = 4 and 2x + y = 8.
[2 marks]3.
Find the values of x and y: x + 2y = 10 and 3x - y = 5.
[2 marks]4.
Solve the system: x/2 + y = 4 and x - y/3 = 2.
[2 marks]5.
Solve using substitution: y = 2x + 1 and 3x + y = 12.
[2 marks]6.
Use elimination to solve: 4x + 3y = 18 and 2x - y = 4.
[2 marks]7.
Find x and y: x + y = 5 and 2x - y = 3.
[2 marks]8.
Solve the system: 5x + 2y = 20 and 3x - y = 4.
[2 marks]9.
A shop sells pencils and pens. The total cost for x pencils and y pens is given by 2x + 3y = 18. The total for 3x and y pens is 20. Find the number of pencils and pens.
[4 marks]10.
A farmer has chickens and rabbits. The total number of animals is 20. The total number of legs is 56. Find how many chickens and rabbits there are.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet