Back to worksheetsMathsAges 16-18
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 16-18
Simultaneous linear equations
Take your time. Show your thinking.
1. Solve the simultaneous equations x + y = 31 and x − y = 19. Find the value of x.
2. Solve the simultaneous equations x + y = 33 and x − y = 5. Find the value of x.
3. Solve the simultaneous equations x + y = 6 and x − y = 4. Find the value of x.
4. Solve the simultaneous equations x + y = 11 and x − y = 9. Find the value of x.
5. Solve the simultaneous equations x + y = 44 and x − y = 4. Find the value of x.
6. Solve the simultaneous equations x + y = 10 and x − y = 4. Find the value of x.
7. Solve the simultaneous equations x + y = 33 and x − y = 1. Find the value of x.
8. Solve the simultaneous equations x + y = 9 and x − y = 7. Find the value of x.
9. Solve the simultaneous equations x + y = 22 and x − y = 4. Find the value of x.
10. Solve the simultaneous equations x + y = 35 and x − y = 3. Find the value of x.
11. Solve the simultaneous equations x + y = 19 and x − y = 17. Find the value of x.
12. Solve the simultaneous equations x + y = 8 and x − y = 4. Find the value of x.
12 questions · Seed 104743 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 16-18
Simultaneous linear equations
Answers and reasoning. Review before teaching.
1. Solve the simultaneous equations x + y = 31 and x − y = 19. Find the value of x.
25Add the two equations: 2x = 31 + 19 = 50, so x = 25 (and y = 6).
2. Solve the simultaneous equations x + y = 33 and x − y = 5. Find the value of x.
19Add the two equations: 2x = 33 + 5 = 38, so x = 19 (and y = 14).
3. Solve the simultaneous equations x + y = 6 and x − y = 4. Find the value of x.
5Add the two equations: 2x = 6 + 4 = 10, so x = 5 (and y = 1).
4. Solve the simultaneous equations x + y = 11 and x − y = 9. Find the value of x.
10Add the two equations: 2x = 11 + 9 = 20, so x = 10 (and y = 1).
5. Solve the simultaneous equations x + y = 44 and x − y = 4. Find the value of x.
24Add the two equations: 2x = 44 + 4 = 48, so x = 24 (and y = 20).
6. 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).
7. 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).
8. Solve the simultaneous equations x + y = 9 and x − y = 7. Find the value of x.
8Add the two equations: 2x = 9 + 7 = 16, so x = 8 (and y = 1).
9. Solve the simultaneous equations x + y = 22 and x − y = 4. Find the value of x.
13Add the two equations: 2x = 22 + 4 = 26, so x = 13 (and y = 9).
10. Solve the simultaneous equations x + y = 35 and x − y = 3. Find the value of x.
19Add the two equations: 2x = 35 + 3 = 38, so x = 19 (and y = 16).
11. Solve the simultaneous equations x + y = 19 and x − y = 17. Find the value of x.
18Add the two equations: 2x = 19 + 17 = 36, so x = 18 (and y = 1).
12. Solve the simultaneous equations x + y = 8 and x − y = 4. Find the value of x.
6Add the two equations: 2x = 8 + 4 = 12, so x = 6 (and y = 2).
12 questions · Seed 104743 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 16-18
Simultaneous linear equations
Take your time. Show your thinking.
1. Solve the simultaneous equations x + y = 31 and x − y = 19. Find the value of x.
2. Solve the simultaneous equations x + y = 33 and x − y = 5. Find the value of x.
3. Solve the simultaneous equations x + y = 6 and x − y = 4. Find the value of x.
4. Solve the simultaneous equations x + y = 11 and x − y = 9. Find the value of x.
5. Solve the simultaneous equations x + y = 44 and x − y = 4. Find the value of x.
6. Solve the simultaneous equations x + y = 10 and x − y = 4. Find the value of x.
7. Solve the simultaneous equations x + y = 33 and x − y = 1. Find the value of x.
8. Solve the simultaneous equations x + y = 9 and x − y = 7. Find the value of x.
9. Solve the simultaneous equations x + y = 22 and x − y = 4. Find the value of x.
10. Solve the simultaneous equations x + y = 35 and x − y = 3. Find the value of x.
11. Solve the simultaneous equations x + y = 19 and x − y = 17. Find the value of x.
12. Solve the simultaneous equations x + y = 8 and x − y = 4. Find the value of x.
12 questions · Seed 104743 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 16-18
Simultaneous linear equations
Answers and reasoning. Review before teaching.
1. Solve the simultaneous equations x + y = 31 and x − y = 19. Find the value of x.
25Add the two equations: 2x = 31 + 19 = 50, so x = 25 (and y = 6).
2. Solve the simultaneous equations x + y = 33 and x − y = 5. Find the value of x.
19Add the two equations: 2x = 33 + 5 = 38, so x = 19 (and y = 14).
3. Solve the simultaneous equations x + y = 6 and x − y = 4. Find the value of x.
5Add the two equations: 2x = 6 + 4 = 10, so x = 5 (and y = 1).
4. Solve the simultaneous equations x + y = 11 and x − y = 9. Find the value of x.
10Add the two equations: 2x = 11 + 9 = 20, so x = 10 (and y = 1).
5. Solve the simultaneous equations x + y = 44 and x − y = 4. Find the value of x.
24Add the two equations: 2x = 44 + 4 = 48, so x = 24 (and y = 20).
6. 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).
7. 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).
8. Solve the simultaneous equations x + y = 9 and x − y = 7. Find the value of x.
8Add the two equations: 2x = 9 + 7 = 16, so x = 8 (and y = 1).
9. Solve the simultaneous equations x + y = 22 and x − y = 4. Find the value of x.
13Add the two equations: 2x = 22 + 4 = 26, so x = 13 (and y = 9).
10. Solve the simultaneous equations x + y = 35 and x − y = 3. Find the value of x.
19Add the two equations: 2x = 35 + 3 = 38, so x = 19 (and y = 16).
11. Solve the simultaneous equations x + y = 19 and x − y = 17. Find the value of x.
18Add the two equations: 2x = 19 + 17 = 36, so x = 18 (and y = 1).
12. Solve the simultaneous equations x + y = 8 and x − y = 4. Find the value of x.
6Add the two equations: 2x = 8 + 4 = 12, so x = 6 (and y = 2).
12 questions · Seed 104743 · Age guidance, not curriculum certification