Back to worksheetsMathsAges 16-18
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 16-18
Simultaneous linear equations
Take your time. Show your thinking.
1. Solve the simultaneous equations x + y = 26 and x − y = 16. Find the value of x.
2. Solve the simultaneous equations x + y = 19 and x − y = 5. Find the value of x.
3. Solve the simultaneous equations x + y = 17 and x − y = 1. Find the value of x.
4. Solve the simultaneous equations x + y = 38 and x − y = 4. Find the value of x.
5. Solve the simultaneous equations x + y = 9 and x − y = 3. Find the value of x.
6. Solve the simultaneous equations x + y = 6 and x − y = 4. Find the value of x.
7. Solve the simultaneous equations x + y = 16 and x − y = 14. Find the value of x.
8. Solve the simultaneous equations x + y = 10 and x − y = 8. Find the value of x.
9. Solve the simultaneous equations x + y = 11 and x − y = 3. Find the value of x.
10. Solve the simultaneous equations x + y = 19 and x − y = 15. Find the value of x.
11. Solve the simultaneous equations x + y = 17 and x − y = 5. Find the value of x.
12. Solve the simultaneous equations x + y = 27 and x − y = 13. Find the value of x.
12 questions · Seed 104733 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 16-18
Simultaneous linear equations
Answers and reasoning. Review before teaching.
1. Solve the simultaneous equations x + y = 26 and x − y = 16. Find the value of x.
21Add the two equations: 2x = 26 + 16 = 42, so x = 21 (and y = 5).
2. Solve the simultaneous equations x + y = 19 and x − y = 5. Find the value of x.
12Add the two equations: 2x = 19 + 5 = 24, so x = 12 (and y = 7).
3. Solve the simultaneous equations x + y = 17 and x − y = 1. Find the value of x.
9Add the two equations: 2x = 17 + 1 = 18, so x = 9 (and y = 8).
4. Solve the simultaneous equations x + y = 38 and x − y = 4. Find the value of x.
21Add the two equations: 2x = 38 + 4 = 42, so x = 21 (and y = 17).
5. Solve the simultaneous equations x + y = 9 and x − y = 3. Find the value of x.
6Add the two equations: 2x = 9 + 3 = 12, so x = 6 (and y = 3).
6. Solve the simultaneous equations x + y = 6 and x − y = 4. Find the value of x.
5Add the two equations: 2x = 6 + 4 = 10, so x = 5 (and y = 1).
7. Solve the simultaneous equations x + y = 16 and x − y = 14. Find the value of x.
15Add the two equations: 2x = 16 + 14 = 30, so x = 15 (and y = 1).
8. Solve the simultaneous equations x + y = 10 and x − y = 8. Find the value of x.
9Add the two equations: 2x = 10 + 8 = 18, so x = 9 (and y = 1).
9. Solve the simultaneous equations x + y = 11 and x − y = 3. Find the value of x.
7Add the two equations: 2x = 11 + 3 = 14, so x = 7 (and y = 4).
10. Solve the simultaneous equations x + y = 19 and x − y = 15. Find the value of x.
17Add the two equations: 2x = 19 + 15 = 34, so x = 17 (and y = 2).
11. Solve the simultaneous equations x + y = 17 and x − y = 5. Find the value of x.
11Add the two equations: 2x = 17 + 5 = 22, so x = 11 (and y = 6).
12. 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).
12 questions · Seed 104733 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18
Simultaneous linear equations
Take your time. Show your thinking.
1. Solve the simultaneous equations x + y = 26 and x − y = 16. Find the value of x.
2. Solve the simultaneous equations x + y = 19 and x − y = 5. Find the value of x.
3. Solve the simultaneous equations x + y = 17 and x − y = 1. Find the value of x.
4. Solve the simultaneous equations x + y = 38 and x − y = 4. Find the value of x.
5. Solve the simultaneous equations x + y = 9 and x − y = 3. Find the value of x.
6. Solve the simultaneous equations x + y = 6 and x − y = 4. Find the value of x.
7. Solve the simultaneous equations x + y = 16 and x − y = 14. Find the value of x.
8. Solve the simultaneous equations x + y = 10 and x − y = 8. Find the value of x.
9. Solve the simultaneous equations x + y = 11 and x − y = 3. Find the value of x.
10. Solve the simultaneous equations x + y = 19 and x − y = 15. Find the value of x.
11. Solve the simultaneous equations x + y = 17 and x − y = 5. Find the value of x.
12. Solve the simultaneous equations x + y = 27 and x − y = 13. Find the value of x.
12 questions · Seed 104733 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18
Simultaneous linear equations
Answers and reasoning. Review before teaching.
1. Solve the simultaneous equations x + y = 26 and x − y = 16. Find the value of x.
21Add the two equations: 2x = 26 + 16 = 42, so x = 21 (and y = 5).
2. Solve the simultaneous equations x + y = 19 and x − y = 5. Find the value of x.
12Add the two equations: 2x = 19 + 5 = 24, so x = 12 (and y = 7).
3. Solve the simultaneous equations x + y = 17 and x − y = 1. Find the value of x.
9Add the two equations: 2x = 17 + 1 = 18, so x = 9 (and y = 8).
4. Solve the simultaneous equations x + y = 38 and x − y = 4. Find the value of x.
21Add the two equations: 2x = 38 + 4 = 42, so x = 21 (and y = 17).
5. Solve the simultaneous equations x + y = 9 and x − y = 3. Find the value of x.
6Add the two equations: 2x = 9 + 3 = 12, so x = 6 (and y = 3).
6. Solve the simultaneous equations x + y = 6 and x − y = 4. Find the value of x.
5Add the two equations: 2x = 6 + 4 = 10, so x = 5 (and y = 1).
7. Solve the simultaneous equations x + y = 16 and x − y = 14. Find the value of x.
15Add the two equations: 2x = 16 + 14 = 30, so x = 15 (and y = 1).
8. Solve the simultaneous equations x + y = 10 and x − y = 8. Find the value of x.
9Add the two equations: 2x = 10 + 8 = 18, so x = 9 (and y = 1).
9. Solve the simultaneous equations x + y = 11 and x − y = 3. Find the value of x.
7Add the two equations: 2x = 11 + 3 = 14, so x = 7 (and y = 4).
10. Solve the simultaneous equations x + y = 19 and x − y = 15. Find the value of x.
17Add the two equations: 2x = 19 + 15 = 34, so x = 17 (and y = 2).
11. Solve the simultaneous equations x + y = 17 and x − y = 5. Find the value of x.
11Add the two equations: 2x = 17 + 5 = 22, so x = 11 (and y = 6).
12. 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).
12 questions · Seed 104733 · Age guidance, not curriculum certification