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 = 28 and x − y = 16. Find the value of x.
2. Solve the simultaneous equations x + y = 22 and x − y = 6. Find the value of x.
3. Solve the simultaneous equations x + y = 19 and x − y = 13. Find the value of x.
4. Solve the simultaneous equations x + y = 19 and x − y = 9. Find the value of x.
5. Solve the simultaneous equations x + y = 31 and x − y = 9. Find the value of x.
6. Solve the simultaneous equations x + y = 20 and x − y = 18. Find the value of x.
7. Solve the simultaneous equations x + y = 29 and x − y = 3. Find the value of x.
8. Solve the simultaneous equations x + y = 9 and x − y = 3. Find the value of x.
9. Solve the simultaneous equations x + y = 12 and x − y = 6. Find the value of x.
10. Solve the simultaneous equations x + y = 30 and x − y = 12. Find the value of x.
11. Solve the simultaneous equations x + y = 15 and x − y = 9. Find the value of x.
12. Solve the simultaneous equations x + y = 27 and x − y = 7. Find the value of x.
12 questions · Seed 104748 · 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 = 28 and x − y = 16. Find the value of x.
22Add the two equations: 2x = 28 + 16 = 44, so x = 22 (and y = 6).
2. Solve the simultaneous equations x + y = 22 and x − y = 6. Find the value of x.
14Add the two equations: 2x = 22 + 6 = 28, so x = 14 (and y = 8).
3. Solve the simultaneous equations x + y = 19 and x − y = 13. Find the value of x.
16Add the two equations: 2x = 19 + 13 = 32, so x = 16 (and y = 3).
4. Solve the simultaneous equations x + y = 19 and x − y = 9. Find the value of x.
14Add the two equations: 2x = 19 + 9 = 28, so x = 14 (and y = 5).
5. Solve the simultaneous equations x + y = 31 and x − y = 9. Find the value of x.
20Add the two equations: 2x = 31 + 9 = 40, so x = 20 (and y = 11).
6. Solve the simultaneous equations x + y = 20 and x − y = 18. Find the value of x.
19Add the two equations: 2x = 20 + 18 = 38, so x = 19 (and y = 1).
7. Solve the simultaneous equations x + y = 29 and x − y = 3. Find the value of x.
16Add the two equations: 2x = 29 + 3 = 32, so x = 16 (and y = 13).
8. 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).
9. 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).
10. Solve the simultaneous equations x + y = 30 and x − y = 12. Find the value of x.
21Add the two equations: 2x = 30 + 12 = 42, so x = 21 (and y = 9).
11. Solve the simultaneous equations x + y = 15 and x − y = 9. Find the value of x.
12Add the two equations: 2x = 15 + 9 = 24, so x = 12 (and y = 3).
12. Solve the simultaneous equations x + y = 27 and x − y = 7. Find the value of x.
17Add the two equations: 2x = 27 + 7 = 34, so x = 17 (and y = 10).
12 questions · Seed 104748 · 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 = 28 and x − y = 16. Find the value of x.
2. Solve the simultaneous equations x + y = 22 and x − y = 6. Find the value of x.
3. Solve the simultaneous equations x + y = 19 and x − y = 13. Find the value of x.
4. Solve the simultaneous equations x + y = 19 and x − y = 9. Find the value of x.
5. Solve the simultaneous equations x + y = 31 and x − y = 9. Find the value of x.
6. Solve the simultaneous equations x + y = 20 and x − y = 18. Find the value of x.
7. Solve the simultaneous equations x + y = 29 and x − y = 3. Find the value of x.
8. Solve the simultaneous equations x + y = 9 and x − y = 3. Find the value of x.
9. Solve the simultaneous equations x + y = 12 and x − y = 6. Find the value of x.
10. Solve the simultaneous equations x + y = 30 and x − y = 12. Find the value of x.
11. Solve the simultaneous equations x + y = 15 and x − y = 9. Find the value of x.
12. Solve the simultaneous equations x + y = 27 and x − y = 7. Find the value of x.
12 questions · Seed 104748 · 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 = 28 and x − y = 16. Find the value of x.
22Add the two equations: 2x = 28 + 16 = 44, so x = 22 (and y = 6).
2. Solve the simultaneous equations x + y = 22 and x − y = 6. Find the value of x.
14Add the two equations: 2x = 22 + 6 = 28, so x = 14 (and y = 8).
3. Solve the simultaneous equations x + y = 19 and x − y = 13. Find the value of x.
16Add the two equations: 2x = 19 + 13 = 32, so x = 16 (and y = 3).
4. Solve the simultaneous equations x + y = 19 and x − y = 9. Find the value of x.
14Add the two equations: 2x = 19 + 9 = 28, so x = 14 (and y = 5).
5. Solve the simultaneous equations x + y = 31 and x − y = 9. Find the value of x.
20Add the two equations: 2x = 31 + 9 = 40, so x = 20 (and y = 11).
6. Solve the simultaneous equations x + y = 20 and x − y = 18. Find the value of x.
19Add the two equations: 2x = 20 + 18 = 38, so x = 19 (and y = 1).
7. Solve the simultaneous equations x + y = 29 and x − y = 3. Find the value of x.
16Add the two equations: 2x = 29 + 3 = 32, so x = 16 (and y = 13).
8. 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).
9. 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).
10. Solve the simultaneous equations x + y = 30 and x − y = 12. Find the value of x.
21Add the two equations: 2x = 30 + 12 = 42, so x = 21 (and y = 9).
11. Solve the simultaneous equations x + y = 15 and x − y = 9. Find the value of x.
12Add the two equations: 2x = 15 + 9 = 24, so x = 12 (and y = 3).
12. Solve the simultaneous equations x + y = 27 and x − y = 7. Find the value of x.
17Add the two equations: 2x = 27 + 7 = 34, so x = 17 (and y = 10).
12 questions · Seed 104748 · Age guidance, not curriculum certification