GCSE Simultaneous Equations Practice Set, Exercises of Mathematics

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GCSE SIMULTANEOUS EQUATIONS – 50 QUESTIONS

3x + 2y = 12 x − y = 1 2 2x − y = 7 x + y = 5 3 4x + y = 9 2x − y = 1

5x − 3y = 11 x + y = 4 5 x − 2y = − 3x + y = 10 6 7x + y = 22 x − y = 4 7 2x + 5y = 4 x − y = 7

3x + y = 10 2x − y = 1 13 5x + y = 14 x − 2y = − 14 x + 4y = 14 3x − y = 5 15 2x − 3y = − x + y = 5

4x − y = 7 x + 3y = 10 17 3x + 2y = 7 5x − y = 8 18 x − y = 6 2x + y = 9 19 7x + 2y = 20 3x − y = 4

4x − 3y = 13 x + y = 5 25 x − y = 2 2x + y = 11 26 3x + 4y = 18 x − y = 1 27 5x + 2y = 16 x − y = 1

2x − y = 3 4x + y = 17 29 x + y = 3 3x − y = 5 30 6x − y = 11 x + 2y = 7 31 2x + 3y = 12 x − y = 1

7x − y = 20 x + y = 4 37 2x + y = 7 3x − 2y = 4 38 4x + 2y = 14 x − y = 1 39 3x + y = 9 x − 2y = −

5x − 2y = 6 x + y = 5 41 2x − y = 1 3x + y = 11 42 x + y = 6 2x − y = 1 43 4x − y = 5 x + 2y = 11

3x + 2y = 13 x − y = 1 49 5x + y = 9 2x − y = 1 50 x + 4y = 18 3x − y = 7

SOLUTIONS

• 1 x = 2, y =
• 2 x = 4, y =
• 3 x = 2, y =
• 4 x = 3, y =
• 5 x = 2, y = 2.
• 6 x = 3, y = −
• 7 x = 7, y =
• 8 x = 3, y =
• 9 x = 3, y =
• 10 x = 5, y =
• 11 x = 3, y =
• 12 x = 3, y =
• 13 x = 3, y = −
• 14 x = 3, y = 2.
• 15 x = 11/5, y = 14/
• 16 x = 2, y = 2.
• 17 x = 2, y = 0.
• 18 x = 5, y = −
• 19 x = 2, y =
• 20 x = 1, y =
• 21 x = 2, y =
• 22 x = 1, y =
• 23 x = 2, y = −
• 24 x = 4, y =
• 25 x = 13/3, y = 7/
• 26 x = 2, y = 3.
• 27 x = 2, y =
• 28 x = 2, y =
• 29 x = 2, y =
• 30 x = 2, y = 2.
• 31 x = 3, y =
• 32 x = 3, y =
• 33 x = 2, y =
• 34 x = 2, y =
• 35 x = 1, y =
• 36 x = 3, y =
• 37 x = 2, y =
• 38 x = 2, y =
• 39 x = 2, y =
• 40 x = 2, y =
• 41 x = 2, y = −
• 42 x = 7/3, y = 11/
• 43 x = 3, y =
• 44 x = 2.5, y = 0.
• 45 x = 2, y =
• 46 x = 1, y =
• 47 x = 4, y =
• 48 x = 3, y =
• 49 x = 2, y = −
• 50 x = 2, y =