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 = 26 and x − y = 18. Find the value of x.
2. Solve the simultaneous equations x + y = 10 and x − y = 4. 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 = 31 and x − y = 17. Find the value of x.
5. Solve the simultaneous equations x + y = 40 and x − y = 8. Find the value of x.
6. Solve the simultaneous equations x + y = 35 and x − y = 9. Find the value of x.
7. Solve the simultaneous equations x + y = 32 and x − y = 16. Find the value of x.
8. Solve the simultaneous equations x + y = 13 and x − y = 11. Find the value of x.
9. Solve the simultaneous equations x + y = 11 and x − y = 3. Find the value of x.
10. Solve the simultaneous equations x + y = 16 and x − y = 2. Find the value of x.
11. Solve the simultaneous equations x + y = 20 and x − y = 2. Find the value of x.
12. Solve the simultaneous equations x + y = 7 and x − y = 3. Find the value of x.
12 questions · Seed 104735 · 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 = 26 and x − y = 18. Find the value of x.
22Add the two equations: 2x = 26 + 18 = 44, so x = 22 (and y = 4).
2. Solve the simultaneous equations x + y = 10 and x − y = 4. Find the value of x.
7Add the two equations: 2x = 10 + 4 = 14, so x = 7 (and y = 3).
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 = 31 and x − y = 17. Find the value of x.
24Add the two equations: 2x = 31 + 17 = 48, so x = 24 (and y = 7).
5. Solve the simultaneous equations x + y = 40 and x − y = 8. Find the value of x.
24Add the two equations: 2x = 40 + 8 = 48, so x = 24 (and y = 16).
6. Solve the simultaneous equations x + y = 35 and x − y = 9. Find the value of x.
22Add the two equations: 2x = 35 + 9 = 44, so x = 22 (and y = 13).
7. Solve the simultaneous equations x + y = 32 and x − y = 16. Find the value of x.
24Add the two equations: 2x = 32 + 16 = 48, so x = 24 (and y = 8).
8. Solve the simultaneous equations x + y = 13 and x − y = 11. Find the value of x.
12Add the two equations: 2x = 13 + 11 = 24, so x = 12 (and y = 1).
9. Solve the simultaneous equations x + y = 11 and x − y = 3. Find the value of x.
7Add the two equations: 2x = 11 + 3 = 14, so x = 7 (and y = 4).
10. 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).
11. Solve the simultaneous equations x + y = 20 and x − y = 2. Find the value of x.
11Add the two equations: 2x = 20 + 2 = 22, so x = 11 (and y = 9).
12. Solve the simultaneous equations x + y = 7 and x − y = 3. Find the value of x.
5Add the two equations: 2x = 7 + 3 = 10, so x = 5 (and y = 2).
12 questions · Seed 104735 · 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 = 26 and x − y = 18. Find the value of x.
2. Solve the simultaneous equations x + y = 10 and x − y = 4. 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 = 31 and x − y = 17. Find the value of x.
5. Solve the simultaneous equations x + y = 40 and x − y = 8. Find the value of x.
6. Solve the simultaneous equations x + y = 35 and x − y = 9. Find the value of x.
7. Solve the simultaneous equations x + y = 32 and x − y = 16. Find the value of x.
8. Solve the simultaneous equations x + y = 13 and x − y = 11. Find the value of x.
9. Solve the simultaneous equations x + y = 11 and x − y = 3. Find the value of x.
10. Solve the simultaneous equations x + y = 16 and x − y = 2. Find the value of x.
11. Solve the simultaneous equations x + y = 20 and x − y = 2. Find the value of x.
12. Solve the simultaneous equations x + y = 7 and x − y = 3. Find the value of x.
12 questions · Seed 104735 · 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 = 26 and x − y = 18. Find the value of x.
22Add the two equations: 2x = 26 + 18 = 44, so x = 22 (and y = 4).
2. Solve the simultaneous equations x + y = 10 and x − y = 4. Find the value of x.
7Add the two equations: 2x = 10 + 4 = 14, so x = 7 (and y = 3).
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 = 31 and x − y = 17. Find the value of x.
24Add the two equations: 2x = 31 + 17 = 48, so x = 24 (and y = 7).
5. Solve the simultaneous equations x + y = 40 and x − y = 8. Find the value of x.
24Add the two equations: 2x = 40 + 8 = 48, so x = 24 (and y = 16).
6. Solve the simultaneous equations x + y = 35 and x − y = 9. Find the value of x.
22Add the two equations: 2x = 35 + 9 = 44, so x = 22 (and y = 13).
7. Solve the simultaneous equations x + y = 32 and x − y = 16. Find the value of x.
24Add the two equations: 2x = 32 + 16 = 48, so x = 24 (and y = 8).
8. Solve the simultaneous equations x + y = 13 and x − y = 11. Find the value of x.
12Add the two equations: 2x = 13 + 11 = 24, so x = 12 (and y = 1).
9. Solve the simultaneous equations x + y = 11 and x − y = 3. Find the value of x.
7Add the two equations: 2x = 11 + 3 = 14, so x = 7 (and y = 4).
10. 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).
11. Solve the simultaneous equations x + y = 20 and x − y = 2. Find the value of x.
11Add the two equations: 2x = 20 + 2 = 22, so x = 11 (and y = 9).
12. Solve the simultaneous equations x + y = 7 and x − y = 3. Find the value of x.
5Add the two equations: 2x = 7 + 3 = 10, so x = 5 (and y = 2).
12 questions · Seed 104735 · Age guidance, not curriculum certification