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 = 30 and x − y = 14. Find the value of x.
2. Solve the simultaneous equations x + y = 29 and x − y = 15. Find the value of x.
3. Solve the simultaneous equations x + y = 34 and x − y = 16. Find the value of x.
4. Solve the simultaneous equations x + y = 22 and x − y = 8. Find the value of x.
5. Solve the simultaneous equations x + y = 15 and x − y = 11. Find the value of x.
6. Solve the simultaneous equations x + y = 25 and x − y = 9. Find the value of x.
7. Solve the simultaneous equations x + y = 37 and x − y = 13. Find the value of x.
8. Solve the simultaneous equations x + y = 22 and x − y = 16. Find the value of x.
9. Solve the simultaneous equations x + y = 36 and x − y = 8. Find the value of x.
10. Solve the simultaneous equations x + y = 30 and x − y = 18. Find the value of x.
11. Solve the simultaneous equations x + y = 15 and x − y = 3. Find the value of x.
12. Solve the simultaneous equations x + y = 28 and x − y = 16. Find the value of x.
12 questions · Seed 104742 · 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 = 30 and x − y = 14. Find the value of x.
22Add the two equations: 2x = 30 + 14 = 44, so x = 22 (and y = 8).
2. Solve the simultaneous equations x + y = 29 and x − y = 15. Find the value of x.
22Add the two equations: 2x = 29 + 15 = 44, so x = 22 (and y = 7).
3. Solve the simultaneous equations x + y = 34 and x − y = 16. Find the value of x.
25Add the two equations: 2x = 34 + 16 = 50, so x = 25 (and y = 9).
4. Solve the simultaneous equations x + y = 22 and x − y = 8. Find the value of x.
15Add the two equations: 2x = 22 + 8 = 30, so x = 15 (and y = 7).
5. Solve the simultaneous equations x + y = 15 and x − y = 11. Find the value of x.
13Add the two equations: 2x = 15 + 11 = 26, so x = 13 (and y = 2).
6. Solve the simultaneous equations x + y = 25 and x − y = 9. Find the value of x.
17Add the two equations: 2x = 25 + 9 = 34, so x = 17 (and y = 8).
7. 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).
8. 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).
9. Solve the simultaneous equations x + y = 36 and x − y = 8. Find the value of x.
22Add the two equations: 2x = 36 + 8 = 44, so x = 22 (and y = 14).
10. Solve the simultaneous equations x + y = 30 and x − y = 18. Find the value of x.
24Add the two equations: 2x = 30 + 18 = 48, so x = 24 (and y = 6).
11. Solve the simultaneous equations x + y = 15 and x − y = 3. Find the value of x.
9Add the two equations: 2x = 15 + 3 = 18, so x = 9 (and y = 6).
12. 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).
12 questions · Seed 104742 · 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 = 30 and x − y = 14. Find the value of x.
2. Solve the simultaneous equations x + y = 29 and x − y = 15. Find the value of x.
3. Solve the simultaneous equations x + y = 34 and x − y = 16. Find the value of x.
4. Solve the simultaneous equations x + y = 22 and x − y = 8. Find the value of x.
5. Solve the simultaneous equations x + y = 15 and x − y = 11. Find the value of x.
6. Solve the simultaneous equations x + y = 25 and x − y = 9. Find the value of x.
7. Solve the simultaneous equations x + y = 37 and x − y = 13. Find the value of x.
8. Solve the simultaneous equations x + y = 22 and x − y = 16. Find the value of x.
9. Solve the simultaneous equations x + y = 36 and x − y = 8. Find the value of x.
10. Solve the simultaneous equations x + y = 30 and x − y = 18. Find the value of x.
11. Solve the simultaneous equations x + y = 15 and x − y = 3. Find the value of x.
12. Solve the simultaneous equations x + y = 28 and x − y = 16. Find the value of x.
12 questions · Seed 104742 · 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 = 30 and x − y = 14. Find the value of x.
22Add the two equations: 2x = 30 + 14 = 44, so x = 22 (and y = 8).
2. Solve the simultaneous equations x + y = 29 and x − y = 15. Find the value of x.
22Add the two equations: 2x = 29 + 15 = 44, so x = 22 (and y = 7).
3. Solve the simultaneous equations x + y = 34 and x − y = 16. Find the value of x.
25Add the two equations: 2x = 34 + 16 = 50, so x = 25 (and y = 9).
4. Solve the simultaneous equations x + y = 22 and x − y = 8. Find the value of x.
15Add the two equations: 2x = 22 + 8 = 30, so x = 15 (and y = 7).
5. Solve the simultaneous equations x + y = 15 and x − y = 11. Find the value of x.
13Add the two equations: 2x = 15 + 11 = 26, so x = 13 (and y = 2).
6. Solve the simultaneous equations x + y = 25 and x − y = 9. Find the value of x.
17Add the two equations: 2x = 25 + 9 = 34, so x = 17 (and y = 8).
7. 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).
8. 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).
9. Solve the simultaneous equations x + y = 36 and x − y = 8. Find the value of x.
22Add the two equations: 2x = 36 + 8 = 44, so x = 22 (and y = 14).
10. Solve the simultaneous equations x + y = 30 and x − y = 18. Find the value of x.
24Add the two equations: 2x = 30 + 18 = 48, so x = 24 (and y = 6).
11. Solve the simultaneous equations x + y = 15 and x − y = 3. Find the value of x.
9Add the two equations: 2x = 15 + 3 = 18, so x = 9 (and y = 6).
12. 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).
12 questions · Seed 104742 · Age guidance, not curriculum certification