Simultaneous Equations worksheet
8 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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3 marks
Solve these simultaneous equations.
\(4x + 5y = 39\)
\(4x - 5y = -31\)
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3 marks
\(x = -5\) and \(y = 6\) is the solution of the simultaneous equations
\(4x + ay = 10\)
\(x - 3y = -23\)
Calculate the value of \(a\).
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4 marks
Solve these simultaneous equations.
\(5x + 4y = -11\)
\(7x + 12y = -9\)
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4 marks
A stationery shop sells folders and notepads.
3 folders and 5 notepads cost £52 altogether.
9 folders and 2 notepads cost £91 altogether.
Work out the cost of one folder and the cost of one notepad.
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3 marks
Solve these simultaneous equations.
\(3x + 4y = 26\)
\(5x - 4y = -42\)
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3 marks
\(x = 2\) and \(y = -1\) is the solution of the simultaneous equations
\(2x + ay = -3\)
\(x - 4y = 6\)
Calculate the value of \(a\).
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4 marks
Solve the simultaneous equations
\(5x + 3y = 13\)
\(7x + 6y = 29\)
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4 marks
A hardware shop sells paint rollers and paint brushes.
3 paint rollers and 4 paint brushes cost £54 altogether.
9 paint rollers and 2 paint brushes cost £132 altogether.
Work out the cost of one paint roller and the cost of one paint brush.
Answers
- \(x = 1\), \(y = 7\)
- \(5\)
- \(x = -3\), \(y = 1\)
- One folder costs £9 and one notepad costs £5.
- \(x = -2\), \(y = 8\)
- \(7\)
- \(x = -1\), \(y = 6\)
- One paint roller costs £14 and one paint brush costs £3.