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 = 34 and x − y = 4. Find the value of x.
2. Solve the simultaneous equations x + y = 22 and x − y = 12. Find the value of x.
3. Solve the simultaneous equations x + y = 19 and x − y = 5. Find the value of x.
4. Solve the simultaneous equations x + y = 40 and x − y = 10. Find the value of x.
5. Solve the simultaneous equations x + y = 16 and x − y = 8. Find the value of x.
6. Solve the simultaneous equations x + y = 32 and x − y = 4. Find the value of x.
7. Solve the simultaneous equations x + y = 16 and x − y = 4. Find the value of x.
8. Solve the simultaneous equations x + y = 33 and x − y = 3. Find the value of x.
9. Solve the simultaneous equations x + y = 19 and x − y = 1. Find the value of x.
10. Solve the simultaneous equations x + y = 22 and x − y = 16. Find the value of x.
11. Solve the simultaneous equations x + y = 29 and x − y = 7. Find the value of x.
12. Solve the simultaneous equations x + y = 27 and x − y = 17. Find the value of x.
12 questions · Seed 104741 · 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 = 34 and x − y = 4. Find the value of x.
19Add the two equations: 2x = 34 + 4 = 38, so x = 19 (and y = 15).
2. Solve the simultaneous equations x + y = 22 and x − y = 12. Find the value of x.
17Add the two equations: 2x = 22 + 12 = 34, so x = 17 (and y = 5).
3. Solve the simultaneous equations x + y = 19 and x − y = 5. Find the value of x.
12Add the two equations: 2x = 19 + 5 = 24, so x = 12 (and y = 7).
4. Solve the simultaneous equations x + y = 40 and x − y = 10. Find the value of x.
25Add the two equations: 2x = 40 + 10 = 50, so x = 25 (and y = 15).
5. Solve the simultaneous equations x + y = 16 and x − y = 8. Find the value of x.
12Add the two equations: 2x = 16 + 8 = 24, so x = 12 (and y = 4).
6. Solve the simultaneous equations x + y = 32 and x − y = 4. Find the value of x.
18Add the two equations: 2x = 32 + 4 = 36, so x = 18 (and y = 14).
7. Solve the simultaneous equations x + y = 16 and x − y = 4. Find the value of x.
10Add the two equations: 2x = 16 + 4 = 20, so x = 10 (and y = 6).
8. 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).
9. Solve the simultaneous equations x + y = 19 and x − y = 1. Find the value of x.
10Add the two equations: 2x = 19 + 1 = 20, so x = 10 (and y = 9).
10. 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).
11. Solve the simultaneous equations x + y = 29 and x − y = 7. Find the value of x.
18Add the two equations: 2x = 29 + 7 = 36, so x = 18 (and y = 11).
12. Solve the simultaneous equations x + y = 27 and x − y = 17. Find the value of x.
22Add the two equations: 2x = 27 + 17 = 44, so x = 22 (and y = 5).
12 questions · Seed 104741 · 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 = 34 and x − y = 4. Find the value of x.
2. Solve the simultaneous equations x + y = 22 and x − y = 12. Find the value of x.
3. Solve the simultaneous equations x + y = 19 and x − y = 5. Find the value of x.
4. Solve the simultaneous equations x + y = 40 and x − y = 10. Find the value of x.
5. Solve the simultaneous equations x + y = 16 and x − y = 8. Find the value of x.
6. Solve the simultaneous equations x + y = 32 and x − y = 4. Find the value of x.
7. Solve the simultaneous equations x + y = 16 and x − y = 4. Find the value of x.
8. Solve the simultaneous equations x + y = 33 and x − y = 3. Find the value of x.
9. Solve the simultaneous equations x + y = 19 and x − y = 1. Find the value of x.
10. Solve the simultaneous equations x + y = 22 and x − y = 16. Find the value of x.
11. Solve the simultaneous equations x + y = 29 and x − y = 7. Find the value of x.
12. Solve the simultaneous equations x + y = 27 and x − y = 17. Find the value of x.
12 questions · Seed 104741 · 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 = 34 and x − y = 4. Find the value of x.
19Add the two equations: 2x = 34 + 4 = 38, so x = 19 (and y = 15).
2. Solve the simultaneous equations x + y = 22 and x − y = 12. Find the value of x.
17Add the two equations: 2x = 22 + 12 = 34, so x = 17 (and y = 5).
3. Solve the simultaneous equations x + y = 19 and x − y = 5. Find the value of x.
12Add the two equations: 2x = 19 + 5 = 24, so x = 12 (and y = 7).
4. Solve the simultaneous equations x + y = 40 and x − y = 10. Find the value of x.
25Add the two equations: 2x = 40 + 10 = 50, so x = 25 (and y = 15).
5. Solve the simultaneous equations x + y = 16 and x − y = 8. Find the value of x.
12Add the two equations: 2x = 16 + 8 = 24, so x = 12 (and y = 4).
6. Solve the simultaneous equations x + y = 32 and x − y = 4. Find the value of x.
18Add the two equations: 2x = 32 + 4 = 36, so x = 18 (and y = 14).
7. Solve the simultaneous equations x + y = 16 and x − y = 4. Find the value of x.
10Add the two equations: 2x = 16 + 4 = 20, so x = 10 (and y = 6).
8. 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).
9. Solve the simultaneous equations x + y = 19 and x − y = 1. Find the value of x.
10Add the two equations: 2x = 19 + 1 = 20, so x = 10 (and y = 9).
10. 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).
11. Solve the simultaneous equations x + y = 29 and x − y = 7. Find the value of x.
18Add the two equations: 2x = 29 + 7 = 36, so x = 18 (and y = 11).
12. Solve the simultaneous equations x + y = 27 and x − y = 17. Find the value of x.
22Add the two equations: 2x = 27 + 17 = 44, so x = 22 (and y = 5).
12 questions · Seed 104741 · Age guidance, not curriculum certification