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 = 38 and x − y = 8. Find the value of x.
2. Solve the simultaneous equations x + y = 12 and x − y = 6. Find the value of x.
3. Solve the simultaneous equations x + y = 25 and x − y = 15. Find the value of x.
4. Solve the simultaneous equations x + y = 9 and x − y = 1. Find the value of x.
5. Solve the simultaneous equations x + y = 24 and x − y = 6. Find the value of x.
6. Solve the simultaneous equations x + y = 17 and x − y = 7. Find the value of x.
7. Solve the simultaneous equations x + y = 8 and x − y = 6. Find the value of x.
8. Solve the simultaneous equations x + y = 34 and x − y = 6. Find the value of x.
9. Solve the simultaneous equations x + y = 29 and x − y = 21. Find the value of x.
10. Solve the simultaneous equations x + y = 9 and x − y = 3. Find the value of x.
11. Solve the simultaneous equations x + y = 25 and x − y = 17. Find the value of x.
12. Solve the simultaneous equations x + y = 23 and x − y = 3. Find the value of x.
12 questions · Seed 104738 · 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 = 38 and x − y = 8. Find the value of x.
23Add the two equations: 2x = 38 + 8 = 46, so x = 23 (and y = 15).
2. 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).
3. Solve the simultaneous equations x + y = 25 and x − y = 15. Find the value of x.
20Add the two equations: 2x = 25 + 15 = 40, so x = 20 (and y = 5).
4. Solve the simultaneous equations x + y = 9 and x − y = 1. Find the value of x.
5Add the two equations: 2x = 9 + 1 = 10, so x = 5 (and y = 4).
5. 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).
6. 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).
7. Solve the simultaneous equations x + y = 8 and x − y = 6. Find the value of x.
7Add the two equations: 2x = 8 + 6 = 14, so x = 7 (and y = 1).
8. Solve the simultaneous equations x + y = 34 and x − y = 6. Find the value of x.
20Add the two equations: 2x = 34 + 6 = 40, so x = 20 (and y = 14).
9. Solve the simultaneous equations x + y = 29 and x − y = 21. Find the value of x.
25Add the two equations: 2x = 29 + 21 = 50, so x = 25 (and y = 4).
10. 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).
11. Solve the simultaneous equations x + y = 25 and x − y = 17. Find the value of x.
21Add the two equations: 2x = 25 + 17 = 42, so x = 21 (and y = 4).
12. Solve the simultaneous equations x + y = 23 and x − y = 3. Find the value of x.
13Add the two equations: 2x = 23 + 3 = 26, so x = 13 (and y = 10).
12 questions · Seed 104738 · 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 = 38 and x − y = 8. Find the value of x.
2. Solve the simultaneous equations x + y = 12 and x − y = 6. Find the value of x.
3. Solve the simultaneous equations x + y = 25 and x − y = 15. Find the value of x.
4. Solve the simultaneous equations x + y = 9 and x − y = 1. Find the value of x.
5. Solve the simultaneous equations x + y = 24 and x − y = 6. Find the value of x.
6. Solve the simultaneous equations x + y = 17 and x − y = 7. Find the value of x.
7. Solve the simultaneous equations x + y = 8 and x − y = 6. Find the value of x.
8. Solve the simultaneous equations x + y = 34 and x − y = 6. Find the value of x.
9. Solve the simultaneous equations x + y = 29 and x − y = 21. Find the value of x.
10. Solve the simultaneous equations x + y = 9 and x − y = 3. Find the value of x.
11. Solve the simultaneous equations x + y = 25 and x − y = 17. Find the value of x.
12. Solve the simultaneous equations x + y = 23 and x − y = 3. Find the value of x.
12 questions · Seed 104738 · 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 = 38 and x − y = 8. Find the value of x.
23Add the two equations: 2x = 38 + 8 = 46, so x = 23 (and y = 15).
2. 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).
3. Solve the simultaneous equations x + y = 25 and x − y = 15. Find the value of x.
20Add the two equations: 2x = 25 + 15 = 40, so x = 20 (and y = 5).
4. Solve the simultaneous equations x + y = 9 and x − y = 1. Find the value of x.
5Add the two equations: 2x = 9 + 1 = 10, so x = 5 (and y = 4).
5. 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).
6. 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).
7. Solve the simultaneous equations x + y = 8 and x − y = 6. Find the value of x.
7Add the two equations: 2x = 8 + 6 = 14, so x = 7 (and y = 1).
8. Solve the simultaneous equations x + y = 34 and x − y = 6. Find the value of x.
20Add the two equations: 2x = 34 + 6 = 40, so x = 20 (and y = 14).
9. Solve the simultaneous equations x + y = 29 and x − y = 21. Find the value of x.
25Add the two equations: 2x = 29 + 21 = 50, so x = 25 (and y = 4).
10. 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).
11. Solve the simultaneous equations x + y = 25 and x − y = 17. Find the value of x.
21Add the two equations: 2x = 25 + 17 = 42, so x = 21 (and y = 4).
12. Solve the simultaneous equations x + y = 23 and x − y = 3. Find the value of x.
13Add the two equations: 2x = 23 + 3 = 26, so x = 13 (and y = 10).
12 questions · Seed 104738 · Age guidance, not curriculum certification