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 = 13 and x − y = 5. Find the value of x.
2. Solve the simultaneous equations x + y = 28 and x − y = 4. Find the value of x.
3. Solve the simultaneous equations x + y = 43 and x − y = 1. Find the value of x.
4. Solve the simultaneous equations x + y = 25 and x − y = 9. Find the value of x.
5. Solve the simultaneous equations x + y = 11 and x − y = 3. Find the value of x.
6. Solve the simultaneous equations x + y = 22 and x − y = 14. 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 = 46 and x − y = 4. Find the value of x.
9. Solve the simultaneous equations x + y = 13 and x − y = 7. Find the value of x.
10. Solve the simultaneous equations x + y = 27 and x − y = 19. Find the value of x.
11. Solve the simultaneous equations x + y = 33 and x − y = 1. 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 104736 · 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 = 13 and x − y = 5. Find the value of x.
9Add the two equations: 2x = 13 + 5 = 18, so x = 9 (and y = 4).
2. Solve the simultaneous equations x + y = 28 and x − y = 4. Find the value of x.
16Add the two equations: 2x = 28 + 4 = 32, so x = 16 (and y = 12).
3. Solve the simultaneous equations x + y = 43 and x − y = 1. Find the value of x.
22Add the two equations: 2x = 43 + 1 = 44, so x = 22 (and y = 21).
4. 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).
5. 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).
6. Solve the simultaneous equations x + y = 22 and x − y = 14. Find the value of x.
18Add the two equations: 2x = 22 + 14 = 36, so x = 18 (and y = 4).
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 = 46 and x − y = 4. Find the value of x.
25Add the two equations: 2x = 46 + 4 = 50, so x = 25 (and y = 21).
9. Solve the simultaneous equations x + y = 13 and x − y = 7. Find the value of x.
10Add the two equations: 2x = 13 + 7 = 20, so x = 10 (and y = 3).
10. Solve the simultaneous equations x + y = 27 and x − y = 19. Find the value of x.
23Add the two equations: 2x = 27 + 19 = 46, so x = 23 (and y = 4).
11. Solve the simultaneous equations x + y = 33 and x − y = 1. Find the value of x.
17Add the two equations: 2x = 33 + 1 = 34, so x = 17 (and y = 16).
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 104736 · 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 = 13 and x − y = 5. Find the value of x.
2. Solve the simultaneous equations x + y = 28 and x − y = 4. Find the value of x.
3. Solve the simultaneous equations x + y = 43 and x − y = 1. Find the value of x.
4. Solve the simultaneous equations x + y = 25 and x − y = 9. Find the value of x.
5. Solve the simultaneous equations x + y = 11 and x − y = 3. Find the value of x.
6. Solve the simultaneous equations x + y = 22 and x − y = 14. 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 = 46 and x − y = 4. Find the value of x.
9. Solve the simultaneous equations x + y = 13 and x − y = 7. Find the value of x.
10. Solve the simultaneous equations x + y = 27 and x − y = 19. Find the value of x.
11. Solve the simultaneous equations x + y = 33 and x − y = 1. 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 104736 · 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 = 13 and x − y = 5. Find the value of x.
9Add the two equations: 2x = 13 + 5 = 18, so x = 9 (and y = 4).
2. Solve the simultaneous equations x + y = 28 and x − y = 4. Find the value of x.
16Add the two equations: 2x = 28 + 4 = 32, so x = 16 (and y = 12).
3. Solve the simultaneous equations x + y = 43 and x − y = 1. Find the value of x.
22Add the two equations: 2x = 43 + 1 = 44, so x = 22 (and y = 21).
4. 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).
5. 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).
6. Solve the simultaneous equations x + y = 22 and x − y = 14. Find the value of x.
18Add the two equations: 2x = 22 + 14 = 36, so x = 18 (and y = 4).
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 = 46 and x − y = 4. Find the value of x.
25Add the two equations: 2x = 46 + 4 = 50, so x = 25 (and y = 21).
9. Solve the simultaneous equations x + y = 13 and x − y = 7. Find the value of x.
10Add the two equations: 2x = 13 + 7 = 20, so x = 10 (and y = 3).
10. Solve the simultaneous equations x + y = 27 and x − y = 19. Find the value of x.
23Add the two equations: 2x = 27 + 19 = 46, so x = 23 (and y = 4).
11. Solve the simultaneous equations x + y = 33 and x − y = 1. Find the value of x.
17Add the two equations: 2x = 33 + 1 = 34, so x = 17 (and y = 16).
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 104736 · Age guidance, not curriculum certification