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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 = 27 and x − y = 9. Find the value of x.
2. Solve the simultaneous equations x + y = 14 and x − y = 10. Find the value of x.
3. Solve the simultaneous equations x + y = 39 and x − y = 3. Find the value of x.
4. Solve the simultaneous equations x + y = 26 and x − y = 8. Find the value of x.
5. Solve the simultaneous equations x + y = 37 and x − y = 7. Find the value of x.
6. Solve the simultaneous equations x + y = 25 and x − y = 1. Find the value of x.
7. Solve the simultaneous equations x + y = 36 and x − y = 12. Find the value of x.
8. Solve the simultaneous equations x + y = 34 and x − y = 6. Find the value of x.
9. Solve the simultaneous equations x + y = 37 and x − y = 13. Find the value of x.
10. Solve the simultaneous equations x + y = 26 and x − y = 20. Find the value of x.
11. Solve the simultaneous equations x + y = 30 and x − y = 14. Find the value of x.
12. Solve the simultaneous equations x + y = 20 and x − y = 2. Find the value of x.
12 questions · Seed 104740 · 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 = 27 and x − y = 9. Find the value of x.
18Add the two equations: 2x = 27 + 9 = 36, so x = 18 (and y = 9).
2. Solve the simultaneous equations x + y = 14 and x − y = 10. Find the value of x.
12Add the two equations: 2x = 14 + 10 = 24, so x = 12 (and y = 2).
3. Solve the simultaneous equations x + y = 39 and x − y = 3. Find the value of x.
21Add the two equations: 2x = 39 + 3 = 42, so x = 21 (and y = 18).
4. Solve the simultaneous equations x + y = 26 and x − y = 8. Find the value of x.
17Add the two equations: 2x = 26 + 8 = 34, so x = 17 (and y = 9).
5. Solve the simultaneous equations x + y = 37 and x − y = 7. Find the value of x.
22Add the two equations: 2x = 37 + 7 = 44, so x = 22 (and y = 15).
6. Solve the simultaneous equations x + y = 25 and x − y = 1. Find the value of x.
13Add the two equations: 2x = 25 + 1 = 26, so x = 13 (and y = 12).
7. Solve the simultaneous equations x + y = 36 and x − y = 12. Find the value of x.
24Add the two equations: 2x = 36 + 12 = 48, so x = 24 (and y = 12).
8. Solve the simultaneous equations x + y = 34 and x − y = 6. Find the value of x.
20Add the two equations: 2x = 34 + 6 = 40, so x = 20 (and y = 14).
9. Solve the simultaneous equations x + y = 37 and x − y = 13. Find the value of x.
25Add the two equations: 2x = 37 + 13 = 50, so x = 25 (and y = 12).
10. Solve the simultaneous equations x + y = 26 and x − y = 20. Find the value of x.
23Add the two equations: 2x = 26 + 20 = 46, so x = 23 (and y = 3).
11. Solve the simultaneous equations x + y = 30 and x − y = 14. Find the value of x.
22Add the two equations: 2x = 30 + 14 = 44, so x = 22 (and y = 8).
12. Solve the simultaneous equations x + y = 20 and x − y = 2. Find the value of x.
11Add the two equations: 2x = 20 + 2 = 22, so x = 11 (and y = 9).
12 questions · Seed 104740 · 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 = 27 and x − y = 9. Find the value of x.
2. Solve the simultaneous equations x + y = 14 and x − y = 10. Find the value of x.
3. Solve the simultaneous equations x + y = 39 and x − y = 3. Find the value of x.
4. Solve the simultaneous equations x + y = 26 and x − y = 8. Find the value of x.
5. Solve the simultaneous equations x + y = 37 and x − y = 7. Find the value of x.
6. Solve the simultaneous equations x + y = 25 and x − y = 1. Find the value of x.
7. Solve the simultaneous equations x + y = 36 and x − y = 12. Find the value of x.
8. Solve the simultaneous equations x + y = 34 and x − y = 6. Find the value of x.
9. Solve the simultaneous equations x + y = 37 and x − y = 13. Find the value of x.
10. Solve the simultaneous equations x + y = 26 and x − y = 20. Find the value of x.
11. Solve the simultaneous equations x + y = 30 and x − y = 14. Find the value of x.
12. Solve the simultaneous equations x + y = 20 and x − y = 2. Find the value of x.
12 questions · Seed 104740 · 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 = 27 and x − y = 9. Find the value of x.
18Add the two equations: 2x = 27 + 9 = 36, so x = 18 (and y = 9).
2. Solve the simultaneous equations x + y = 14 and x − y = 10. Find the value of x.
12Add the two equations: 2x = 14 + 10 = 24, so x = 12 (and y = 2).
3. Solve the simultaneous equations x + y = 39 and x − y = 3. Find the value of x.
21Add the two equations: 2x = 39 + 3 = 42, so x = 21 (and y = 18).
4. Solve the simultaneous equations x + y = 26 and x − y = 8. Find the value of x.
17Add the two equations: 2x = 26 + 8 = 34, so x = 17 (and y = 9).
5. Solve the simultaneous equations x + y = 37 and x − y = 7. Find the value of x.
22Add the two equations: 2x = 37 + 7 = 44, so x = 22 (and y = 15).
6. Solve the simultaneous equations x + y = 25 and x − y = 1. Find the value of x.
13Add the two equations: 2x = 25 + 1 = 26, so x = 13 (and y = 12).
7. Solve the simultaneous equations x + y = 36 and x − y = 12. Find the value of x.
24Add the two equations: 2x = 36 + 12 = 48, so x = 24 (and y = 12).
8. Solve the simultaneous equations x + y = 34 and x − y = 6. Find the value of x.
20Add the two equations: 2x = 34 + 6 = 40, so x = 20 (and y = 14).
9. Solve the simultaneous equations x + y = 37 and x − y = 13. Find the value of x.
25Add the two equations: 2x = 37 + 13 = 50, so x = 25 (and y = 12).
10. Solve the simultaneous equations x + y = 26 and x − y = 20. Find the value of x.
23Add the two equations: 2x = 26 + 20 = 46, so x = 23 (and y = 3).
11. Solve the simultaneous equations x + y = 30 and x − y = 14. Find the value of x.
22Add the two equations: 2x = 30 + 14 = 44, so x = 22 (and y = 8).
12. Solve the simultaneous equations x + y = 20 and x − y = 2. Find the value of x.
11Add the two equations: 2x = 20 + 2 = 22, so x = 11 (and y = 9).
12 questions · Seed 104740 · Age guidance, not curriculum certification