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 = 37 and x − y = 7. Find the value of x.
2. Solve the simultaneous equations x + y = 10 and x − y = 6. Find the value of x.
3. Solve the simultaneous equations x + y = 26 and x − y = 6. Find the value of x.
4. Solve the simultaneous equations x + y = 22 and x − y = 10. Find the value of x.
5. Solve the simultaneous equations x + y = 32 and x − y = 10. Find the value of x.
6. Solve the simultaneous equations x + y = 22 and x − y = 16. Find the value of x.
7. Solve the simultaneous equations x + y = 17 and x − y = 1. Find the value of x.
8. Solve the simultaneous equations x + y = 17 and x − y = 7. Find the value of x.
9. Solve the simultaneous equations x + y = 7 and x − y = 3. Find the value of x.
10. Solve the simultaneous equations x + y = 21 and x − y = 1. Find the value of x.
11. Solve the simultaneous equations x + y = 29 and x − y = 13. Find the value of x.
12. Solve the simultaneous equations x + y = 17 and x − y = 15. Find the value of x.
12 questions · Seed 104746 · 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 = 37 and x − y = 7. Find the value of x.
22Add the two equations: 2x = 37 + 7 = 44, so x = 22 (and y = 15).
2. Solve the simultaneous equations x + y = 10 and x − y = 6. Find the value of x.
8Add the two equations: 2x = 10 + 6 = 16, so x = 8 (and y = 2).
3. Solve the simultaneous equations x + y = 26 and x − y = 6. Find the value of x.
16Add the two equations: 2x = 26 + 6 = 32, so x = 16 (and y = 10).
4. Solve the simultaneous equations x + y = 22 and x − y = 10. Find the value of x.
16Add the two equations: 2x = 22 + 10 = 32, so x = 16 (and y = 6).
5. 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).
6. Solve the simultaneous equations x + y = 22 and x − y = 16. Find the value of x.
19Add the two equations: 2x = 22 + 16 = 38, so x = 19 (and y = 3).
7. 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).
8. Solve the simultaneous equations x + y = 17 and x − y = 7. Find the value of x.
12Add the two equations: 2x = 17 + 7 = 24, so x = 12 (and y = 5).
9. Solve the simultaneous equations x + y = 7 and x − y = 3. Find the value of x.
5Add the two equations: 2x = 7 + 3 = 10, so x = 5 (and y = 2).
10. Solve the simultaneous equations x + y = 21 and x − y = 1. Find the value of x.
11Add the two equations: 2x = 21 + 1 = 22, so x = 11 (and y = 10).
11. Solve the simultaneous equations x + y = 29 and x − y = 13. Find the value of x.
21Add the two equations: 2x = 29 + 13 = 42, so x = 21 (and y = 8).
12. 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).
12 questions · Seed 104746 · 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 = 37 and x − y = 7. Find the value of x.
2. Solve the simultaneous equations x + y = 10 and x − y = 6. Find the value of x.
3. Solve the simultaneous equations x + y = 26 and x − y = 6. Find the value of x.
4. Solve the simultaneous equations x + y = 22 and x − y = 10. Find the value of x.
5. Solve the simultaneous equations x + y = 32 and x − y = 10. Find the value of x.
6. Solve the simultaneous equations x + y = 22 and x − y = 16. Find the value of x.
7. Solve the simultaneous equations x + y = 17 and x − y = 1. Find the value of x.
8. Solve the simultaneous equations x + y = 17 and x − y = 7. Find the value of x.
9. Solve the simultaneous equations x + y = 7 and x − y = 3. Find the value of x.
10. Solve the simultaneous equations x + y = 21 and x − y = 1. Find the value of x.
11. Solve the simultaneous equations x + y = 29 and x − y = 13. Find the value of x.
12. Solve the simultaneous equations x + y = 17 and x − y = 15. Find the value of x.
12 questions · Seed 104746 · 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 = 37 and x − y = 7. Find the value of x.
22Add the two equations: 2x = 37 + 7 = 44, so x = 22 (and y = 15).
2. Solve the simultaneous equations x + y = 10 and x − y = 6. Find the value of x.
8Add the two equations: 2x = 10 + 6 = 16, so x = 8 (and y = 2).
3. Solve the simultaneous equations x + y = 26 and x − y = 6. Find the value of x.
16Add the two equations: 2x = 26 + 6 = 32, so x = 16 (and y = 10).
4. Solve the simultaneous equations x + y = 22 and x − y = 10. Find the value of x.
16Add the two equations: 2x = 22 + 10 = 32, so x = 16 (and y = 6).
5. 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).
6. Solve the simultaneous equations x + y = 22 and x − y = 16. Find the value of x.
19Add the two equations: 2x = 22 + 16 = 38, so x = 19 (and y = 3).
7. 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).
8. Solve the simultaneous equations x + y = 17 and x − y = 7. Find the value of x.
12Add the two equations: 2x = 17 + 7 = 24, so x = 12 (and y = 5).
9. Solve the simultaneous equations x + y = 7 and x − y = 3. Find the value of x.
5Add the two equations: 2x = 7 + 3 = 10, so x = 5 (and y = 2).
10. Solve the simultaneous equations x + y = 21 and x − y = 1. Find the value of x.
11Add the two equations: 2x = 21 + 1 = 22, so x = 11 (and y = 10).
11. Solve the simultaneous equations x + y = 29 and x − y = 13. Find the value of x.
21Add the two equations: 2x = 29 + 13 = 42, so x = 21 (and y = 8).
12. 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).
12 questions · Seed 104746 · Age guidance, not curriculum certification