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Simultaneous linear equations
Eliminate y by adding x + y and x − y to solve a pair of simultaneous linear equations. Review suitability for your learners before teaching.
Worksheet StudioPractice pack · Ages 13-15
Simultaneous linear equations
Take your time. Show your thinking.
1. Solve the simultaneous equations x + y = 12 and x − y = 6. Find the value of x.
2. Solve the simultaneous equations x + y = 14 and x − y = 8. Find the value of x.
3. Solve the simultaneous equations x + y = 16 and x − y = 12. Find the value of x.
4. Solve the simultaneous equations x + y = 17 and x − y = 15. Find the value of x.
5. Solve the simultaneous equations x + y = 28 and x − y = 10. Find the value of x.
6. Solve the simultaneous equations x + y = 27 and x − y = 13. Find the value of x.
7. Solve the simultaneous equations x + y = 17 and x − y = 11. Find the value of x.
8. Solve the simultaneous equations x + y = 34 and x − y = 12. Find the value of x.
9. Solve the simultaneous equations x + y = 12 and x − y = 8. Find the value of x.
10. Solve the simultaneous equations x + y = 16 and x − y = 2. Find the value of x.
11. Solve the simultaneous equations x + y = 38 and x − y = 2. Find the value of x.
12. Solve the simultaneous equations x + y = 14 and x − y = 12. Find the value of x.
12 questions · Seed 43 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15
Simultaneous linear equations
Answers and reasoning. Review before teaching.
1. Solve the simultaneous equations x + y = 12 and x − y = 6. Find the value of x.
9Add the two equations: 2x = 12 + 6 = 18, so x = 9 (and y = 3).
2. Solve the simultaneous equations x + y = 14 and x − y = 8. Find the value of x.
11Add the two equations: 2x = 14 + 8 = 22, so x = 11 (and y = 3).
3. Solve the simultaneous equations x + y = 16 and x − y = 12. Find the value of x.
14Add the two equations: 2x = 16 + 12 = 28, so x = 14 (and y = 2).
4. Solve the simultaneous equations x + y = 17 and x − y = 15. Find the value of x.
16Add the two equations: 2x = 17 + 15 = 32, so x = 16 (and y = 1).
5. Solve the simultaneous equations x + y = 28 and x − y = 10. Find the value of x.
19Add the two equations: 2x = 28 + 10 = 38, so x = 19 (and y = 9).
6. Solve the simultaneous equations x + y = 27 and x − y = 13. Find the value of x.
20Add the two equations: 2x = 27 + 13 = 40, so x = 20 (and y = 7).
7. Solve the simultaneous equations x + y = 17 and x − y = 11. Find the value of x.
14Add the two equations: 2x = 17 + 11 = 28, so x = 14 (and y = 3).
8. Solve the simultaneous equations x + y = 34 and x − y = 12. Find the value of x.
23Add the two equations: 2x = 34 + 12 = 46, so x = 23 (and y = 11).
9. Solve the simultaneous equations x + y = 12 and x − y = 8. Find the value of x.
10Add the two equations: 2x = 12 + 8 = 20, so x = 10 (and y = 2).
10. Solve the simultaneous equations x + y = 16 and x − y = 2. Find the value of x.
9Add the two equations: 2x = 16 + 2 = 18, so x = 9 (and y = 7).
11. Solve the simultaneous equations x + y = 38 and x − y = 2. Find the value of x.
20Add the two equations: 2x = 38 + 2 = 40, so x = 20 (and y = 18).
12. Solve the simultaneous equations x + y = 14 and x − y = 12. Find the value of x.
13Add the two equations: 2x = 14 + 12 = 26, so x = 13 (and y = 1).
12 questions · Seed 43 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15
Simultaneous linear equations
Take your time. Show your thinking.
1. Solve the simultaneous equations x + y = 12 and x − y = 6. Find the value of x.
2. Solve the simultaneous equations x + y = 14 and x − y = 8. Find the value of x.
3. Solve the simultaneous equations x + y = 16 and x − y = 12. Find the value of x.
4. Solve the simultaneous equations x + y = 17 and x − y = 15. Find the value of x.
5. Solve the simultaneous equations x + y = 28 and x − y = 10. Find the value of x.
6. Solve the simultaneous equations x + y = 27 and x − y = 13. Find the value of x.
7. Solve the simultaneous equations x + y = 17 and x − y = 11. Find the value of x.
8. Solve the simultaneous equations x + y = 34 and x − y = 12. Find the value of x.
9. Solve the simultaneous equations x + y = 12 and x − y = 8. Find the value of x.
10. Solve the simultaneous equations x + y = 16 and x − y = 2. Find the value of x.
11. Solve the simultaneous equations x + y = 38 and x − y = 2. Find the value of x.
12. Solve the simultaneous equations x + y = 14 and x − y = 12. Find the value of x.
12 questions · Seed 43 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15
Simultaneous linear equations
Answers and reasoning. Review before teaching.
1. Solve the simultaneous equations x + y = 12 and x − y = 6. Find the value of x.
9Add the two equations: 2x = 12 + 6 = 18, so x = 9 (and y = 3).
2. Solve the simultaneous equations x + y = 14 and x − y = 8. Find the value of x.
11Add the two equations: 2x = 14 + 8 = 22, so x = 11 (and y = 3).
3. Solve the simultaneous equations x + y = 16 and x − y = 12. Find the value of x.
14Add the two equations: 2x = 16 + 12 = 28, so x = 14 (and y = 2).
4. Solve the simultaneous equations x + y = 17 and x − y = 15. Find the value of x.
16Add the two equations: 2x = 17 + 15 = 32, so x = 16 (and y = 1).
5. Solve the simultaneous equations x + y = 28 and x − y = 10. Find the value of x.
19Add the two equations: 2x = 28 + 10 = 38, so x = 19 (and y = 9).
6. Solve the simultaneous equations x + y = 27 and x − y = 13. Find the value of x.
20Add the two equations: 2x = 27 + 13 = 40, so x = 20 (and y = 7).
7. Solve the simultaneous equations x + y = 17 and x − y = 11. Find the value of x.
14Add the two equations: 2x = 17 + 11 = 28, so x = 14 (and y = 3).
8. Solve the simultaneous equations x + y = 34 and x − y = 12. Find the value of x.
23Add the two equations: 2x = 34 + 12 = 46, so x = 23 (and y = 11).
9. Solve the simultaneous equations x + y = 12 and x − y = 8. Find the value of x.
10Add the two equations: 2x = 12 + 8 = 20, so x = 10 (and y = 2).
10. Solve the simultaneous equations x + y = 16 and x − y = 2. Find the value of x.
9Add the two equations: 2x = 16 + 2 = 18, so x = 9 (and y = 7).
11. Solve the simultaneous equations x + y = 38 and x − y = 2. Find the value of x.
20Add the two equations: 2x = 38 + 2 = 40, so x = 20 (and y = 18).
12. Solve the simultaneous equations x + y = 14 and x − y = 12. Find the value of x.
13Add the two equations: 2x = 14 + 12 = 26, so x = 13 (and y = 1).
12 questions · Seed 43 · Age guidance, not curriculum certification