Back to worksheetsMathsAges 13-15
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 = 7 and x − y = 5. Find the value of x.
2. Solve the simultaneous equations x + y = 27 and x − y = 19. Find the value of x.
3. Solve the simultaneous equations x + y = 29 and x − y = 5. Find the value of x.
4. Solve the simultaneous equations x + y = 32 and x − y = 18. Find the value of x.
5. Solve the simultaneous equations x + y = 20 and x − y = 14. Find the value of x.
6. Solve the simultaneous equations x + y = 26 and x − y = 2. Find the value of x.
7. Solve the simultaneous equations x + y = 24 and x − y = 6. Find the value of x.
8. Solve the simultaneous equations x + y = 32 and x − y = 10. Find the value of x.
9. Solve the simultaneous equations x + y = 27 and x − y = 5. Find the value of x.
10. Solve the simultaneous equations x + y = 14 and x − y = 10. Find the value of x.
11. Solve the simultaneous equations x + y = 28 and x − y = 18. Find the value of x.
12. Solve the simultaneous equations x + y = 6 and x − y = 4. Find the value of x.
12 questions · Seed 46 · 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 = 7 and x − y = 5. Find the value of x.
6Add the two equations: 2x = 7 + 5 = 12, so x = 6 (and y = 1).
2. Solve the simultaneous equations x + y = 27 and x − y = 19. Find the value of x.
23Add the two equations: 2x = 27 + 19 = 46, so x = 23 (and y = 4).
3. Solve the simultaneous equations x + y = 29 and x − y = 5. Find the value of x.
17Add the two equations: 2x = 29 + 5 = 34, so x = 17 (and y = 12).
4. Solve the simultaneous equations x + y = 32 and x − y = 18. Find the value of x.
25Add the two equations: 2x = 32 + 18 = 50, so x = 25 (and y = 7).
5. Solve the simultaneous equations x + y = 20 and x − y = 14. Find the value of x.
17Add the two equations: 2x = 20 + 14 = 34, so x = 17 (and y = 3).
6. Solve the simultaneous equations x + y = 26 and x − y = 2. Find the value of x.
14Add the two equations: 2x = 26 + 2 = 28, so x = 14 (and y = 12).
7. Solve the simultaneous equations x + y = 24 and x − y = 6. Find the value of x.
15Add the two equations: 2x = 24 + 6 = 30, so x = 15 (and y = 9).
8. Solve the simultaneous equations x + y = 32 and x − y = 10. Find the value of x.
21Add the two equations: 2x = 32 + 10 = 42, so x = 21 (and y = 11).
9. Solve the simultaneous equations x + y = 27 and x − y = 5. Find the value of x.
16Add the two equations: 2x = 27 + 5 = 32, so x = 16 (and y = 11).
10. 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).
11. Solve the simultaneous equations x + y = 28 and x − y = 18. Find the value of x.
23Add the two equations: 2x = 28 + 18 = 46, so x = 23 (and y = 5).
12. 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).
12 questions · Seed 46 · 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 = 7 and x − y = 5. Find the value of x.
2. Solve the simultaneous equations x + y = 27 and x − y = 19. Find the value of x.
3. Solve the simultaneous equations x + y = 29 and x − y = 5. Find the value of x.
4. Solve the simultaneous equations x + y = 32 and x − y = 18. Find the value of x.
5. Solve the simultaneous equations x + y = 20 and x − y = 14. Find the value of x.
6. Solve the simultaneous equations x + y = 26 and x − y = 2. Find the value of x.
7. Solve the simultaneous equations x + y = 24 and x − y = 6. Find the value of x.
8. Solve the simultaneous equations x + y = 32 and x − y = 10. Find the value of x.
9. Solve the simultaneous equations x + y = 27 and x − y = 5. Find the value of x.
10. Solve the simultaneous equations x + y = 14 and x − y = 10. Find the value of x.
11. Solve the simultaneous equations x + y = 28 and x − y = 18. Find the value of x.
12. Solve the simultaneous equations x + y = 6 and x − y = 4. Find the value of x.
12 questions · Seed 46 · 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 = 7 and x − y = 5. Find the value of x.
6Add the two equations: 2x = 7 + 5 = 12, so x = 6 (and y = 1).
2. Solve the simultaneous equations x + y = 27 and x − y = 19. Find the value of x.
23Add the two equations: 2x = 27 + 19 = 46, so x = 23 (and y = 4).
3. Solve the simultaneous equations x + y = 29 and x − y = 5. Find the value of x.
17Add the two equations: 2x = 29 + 5 = 34, so x = 17 (and y = 12).
4. Solve the simultaneous equations x + y = 32 and x − y = 18. Find the value of x.
25Add the two equations: 2x = 32 + 18 = 50, so x = 25 (and y = 7).
5. Solve the simultaneous equations x + y = 20 and x − y = 14. Find the value of x.
17Add the two equations: 2x = 20 + 14 = 34, so x = 17 (and y = 3).
6. Solve the simultaneous equations x + y = 26 and x − y = 2. Find the value of x.
14Add the two equations: 2x = 26 + 2 = 28, so x = 14 (and y = 12).
7. Solve the simultaneous equations x + y = 24 and x − y = 6. Find the value of x.
15Add the two equations: 2x = 24 + 6 = 30, so x = 15 (and y = 9).
8. Solve the simultaneous equations x + y = 32 and x − y = 10. Find the value of x.
21Add the two equations: 2x = 32 + 10 = 42, so x = 21 (and y = 11).
9. Solve the simultaneous equations x + y = 27 and x − y = 5. Find the value of x.
16Add the two equations: 2x = 27 + 5 = 32, so x = 16 (and y = 11).
10. 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).
11. Solve the simultaneous equations x + y = 28 and x − y = 18. Find the value of x.
23Add the two equations: 2x = 28 + 18 = 46, so x = 23 (and y = 5).
12. 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).
12 questions · Seed 46 · Age guidance, not curriculum certification