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 = 9 and x − y = 5. Find the value of x.
2. Solve the simultaneous equations x + y = 21 and x − y = 3. Find the value of x.
3. Solve the simultaneous equations x + y = 27 and x − y = 1. Find the value of x.
4. Solve the simultaneous equations x + y = 32 and x − y = 10. Find the value of x.
5. Solve the simultaneous equations x + y = 21 and x − y = 13. Find the value of x.
6. Solve the simultaneous equations x + y = 31 and x − y = 11. Find the value of x.
7. Solve the simultaneous equations x + y = 12 and x − y = 8. Find the value of x.
8. Solve the simultaneous equations x + y = 26 and x − y = 2. Find the value of x.
9. Solve the simultaneous equations x + y = 16 and x − y = 2. Find the value of x.
10. Solve the simultaneous equations x + y = 33 and x − y = 3. Find the value of x.
11. Solve the simultaneous equations x + y = 15 and x − y = 1. Find the value of x.
12. Solve the simultaneous equations x + y = 18 and x − y = 16. Find the value of x.
12 questions · Seed 104747 · 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 = 9 and x − y = 5. Find the value of x.
7Add the two equations: 2x = 9 + 5 = 14, so x = 7 (and y = 2).
2. Solve the simultaneous equations x + y = 21 and x − y = 3. Find the value of x.
12Add the two equations: 2x = 21 + 3 = 24, so x = 12 (and y = 9).
3. Solve the simultaneous equations x + y = 27 and x − y = 1. Find the value of x.
14Add the two equations: 2x = 27 + 1 = 28, so x = 14 (and y = 13).
4. 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).
5. Solve the simultaneous equations x + y = 21 and x − y = 13. Find the value of x.
17Add the two equations: 2x = 21 + 13 = 34, so x = 17 (and y = 4).
6. Solve the simultaneous equations x + y = 31 and x − y = 11. Find the value of x.
21Add the two equations: 2x = 31 + 11 = 42, so x = 21 (and y = 10).
7. Solve the simultaneous equations x + y = 12 and x − y = 8. Find the value of x.
10Add the two equations: 2x = 12 + 8 = 20, so x = 10 (and y = 2).
8. 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).
9. Solve the simultaneous equations x + y = 16 and x − y = 2. Find the value of x.
9Add the two equations: 2x = 16 + 2 = 18, so x = 9 (and y = 7).
10. Solve the simultaneous equations x + y = 33 and x − y = 3. Find the value of x.
18Add the two equations: 2x = 33 + 3 = 36, so x = 18 (and y = 15).
11. Solve the simultaneous equations x + y = 15 and x − y = 1. Find the value of x.
8Add the two equations: 2x = 15 + 1 = 16, so x = 8 (and y = 7).
12. Solve the simultaneous equations x + y = 18 and x − y = 16. Find the value of x.
17Add the two equations: 2x = 18 + 16 = 34, so x = 17 (and y = 1).
12 questions · Seed 104747 · 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 = 9 and x − y = 5. Find the value of x.
2. Solve the simultaneous equations x + y = 21 and x − y = 3. Find the value of x.
3. Solve the simultaneous equations x + y = 27 and x − y = 1. Find the value of x.
4. Solve the simultaneous equations x + y = 32 and x − y = 10. Find the value of x.
5. Solve the simultaneous equations x + y = 21 and x − y = 13. Find the value of x.
6. Solve the simultaneous equations x + y = 31 and x − y = 11. Find the value of x.
7. Solve the simultaneous equations x + y = 12 and x − y = 8. Find the value of x.
8. Solve the simultaneous equations x + y = 26 and x − y = 2. Find the value of x.
9. Solve the simultaneous equations x + y = 16 and x − y = 2. Find the value of x.
10. Solve the simultaneous equations x + y = 33 and x − y = 3. Find the value of x.
11. Solve the simultaneous equations x + y = 15 and x − y = 1. Find the value of x.
12. Solve the simultaneous equations x + y = 18 and x − y = 16. Find the value of x.
12 questions · Seed 104747 · 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 = 9 and x − y = 5. Find the value of x.
7Add the two equations: 2x = 9 + 5 = 14, so x = 7 (and y = 2).
2. Solve the simultaneous equations x + y = 21 and x − y = 3. Find the value of x.
12Add the two equations: 2x = 21 + 3 = 24, so x = 12 (and y = 9).
3. Solve the simultaneous equations x + y = 27 and x − y = 1. Find the value of x.
14Add the two equations: 2x = 27 + 1 = 28, so x = 14 (and y = 13).
4. 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).
5. Solve the simultaneous equations x + y = 21 and x − y = 13. Find the value of x.
17Add the two equations: 2x = 21 + 13 = 34, so x = 17 (and y = 4).
6. Solve the simultaneous equations x + y = 31 and x − y = 11. Find the value of x.
21Add the two equations: 2x = 31 + 11 = 42, so x = 21 (and y = 10).
7. Solve the simultaneous equations x + y = 12 and x − y = 8. Find the value of x.
10Add the two equations: 2x = 12 + 8 = 20, so x = 10 (and y = 2).
8. 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).
9. Solve the simultaneous equations x + y = 16 and x − y = 2. Find the value of x.
9Add the two equations: 2x = 16 + 2 = 18, so x = 9 (and y = 7).
10. Solve the simultaneous equations x + y = 33 and x − y = 3. Find the value of x.
18Add the two equations: 2x = 33 + 3 = 36, so x = 18 (and y = 15).
11. Solve the simultaneous equations x + y = 15 and x − y = 1. Find the value of x.
8Add the two equations: 2x = 15 + 1 = 16, so x = 8 (and y = 7).
12. Solve the simultaneous equations x + y = 18 and x − y = 16. Find the value of x.
17Add the two equations: 2x = 18 + 16 = 34, so x = 17 (and y = 1).
12 questions · Seed 104747 · Age guidance, not curriculum certification