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 = 21 and x − y = 7. Find the value of x.
2. Solve the simultaneous equations x + y = 9 and x − y = 1. Find the value of x.
3. Solve the simultaneous equations x + y = 45 and x − y = 5. Find the value of x.
4. Solve the simultaneous equations x + y = 8 and x − y = 4. Find the value of x.
5. Solve the simultaneous equations x + y = 33 and x − y = 15. Find the value of x.
6. Solve the simultaneous equations x + y = 19 and x − y = 3. Find the value of x.
7. Solve the simultaneous equations x + y = 35 and x − y = 9. Find the value of x.
8. Solve the simultaneous equations x + y = 36 and x − y = 6. Find the value of x.
9. Solve the simultaneous equations x + y = 26 and x − y = 12. Find the value of x.
10. Solve the simultaneous equations x + y = 29 and x − y = 15. Find the value of x.
11. Solve the simultaneous equations x + y = 25 and x − y = 3. Find the value of x.
12. Solve the simultaneous equations x + y = 27 and x − y = 9. Find the value of x.
12 questions · Seed 104730 · 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 = 21 and x − y = 7. Find the value of x.
14Add the two equations: 2x = 21 + 7 = 28, so x = 14 (and y = 7).
2. 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).
3. Solve the simultaneous equations x + y = 45 and x − y = 5. Find the value of x.
25Add the two equations: 2x = 45 + 5 = 50, so x = 25 (and y = 20).
4. 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).
5. Solve the simultaneous equations x + y = 33 and x − y = 15. Find the value of x.
24Add the two equations: 2x = 33 + 15 = 48, so x = 24 (and y = 9).
6. Solve the simultaneous equations x + y = 19 and x − y = 3. Find the value of x.
11Add the two equations: 2x = 19 + 3 = 22, so x = 11 (and y = 8).
7. 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).
8. Solve the simultaneous equations x + y = 36 and x − y = 6. Find the value of x.
21Add the two equations: 2x = 36 + 6 = 42, so x = 21 (and y = 15).
9. Solve the simultaneous equations x + y = 26 and x − y = 12. Find the value of x.
19Add the two equations: 2x = 26 + 12 = 38, so x = 19 (and y = 7).
10. Solve the simultaneous equations x + y = 29 and x − y = 15. Find the value of x.
22Add the two equations: 2x = 29 + 15 = 44, so x = 22 (and y = 7).
11. Solve the simultaneous equations x + y = 25 and x − y = 3. Find the value of x.
14Add the two equations: 2x = 25 + 3 = 28, so x = 14 (and y = 11).
12. Solve the simultaneous equations x + y = 27 and x − y = 9. Find the value of x.
18Add the two equations: 2x = 27 + 9 = 36, so x = 18 (and y = 9).
12 questions · Seed 104730 · 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 = 21 and x − y = 7. Find the value of x.
2. Solve the simultaneous equations x + y = 9 and x − y = 1. Find the value of x.
3. Solve the simultaneous equations x + y = 45 and x − y = 5. Find the value of x.
4. Solve the simultaneous equations x + y = 8 and x − y = 4. Find the value of x.
5. Solve the simultaneous equations x + y = 33 and x − y = 15. Find the value of x.
6. Solve the simultaneous equations x + y = 19 and x − y = 3. Find the value of x.
7. Solve the simultaneous equations x + y = 35 and x − y = 9. Find the value of x.
8. Solve the simultaneous equations x + y = 36 and x − y = 6. Find the value of x.
9. Solve the simultaneous equations x + y = 26 and x − y = 12. Find the value of x.
10. Solve the simultaneous equations x + y = 29 and x − y = 15. Find the value of x.
11. Solve the simultaneous equations x + y = 25 and x − y = 3. Find the value of x.
12. Solve the simultaneous equations x + y = 27 and x − y = 9. Find the value of x.
12 questions · Seed 104730 · 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 = 21 and x − y = 7. Find the value of x.
14Add the two equations: 2x = 21 + 7 = 28, so x = 14 (and y = 7).
2. 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).
3. Solve the simultaneous equations x + y = 45 and x − y = 5. Find the value of x.
25Add the two equations: 2x = 45 + 5 = 50, so x = 25 (and y = 20).
4. 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).
5. Solve the simultaneous equations x + y = 33 and x − y = 15. Find the value of x.
24Add the two equations: 2x = 33 + 15 = 48, so x = 24 (and y = 9).
6. Solve the simultaneous equations x + y = 19 and x − y = 3. Find the value of x.
11Add the two equations: 2x = 19 + 3 = 22, so x = 11 (and y = 8).
7. 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).
8. Solve the simultaneous equations x + y = 36 and x − y = 6. Find the value of x.
21Add the two equations: 2x = 36 + 6 = 42, so x = 21 (and y = 15).
9. Solve the simultaneous equations x + y = 26 and x − y = 12. Find the value of x.
19Add the two equations: 2x = 26 + 12 = 38, so x = 19 (and y = 7).
10. Solve the simultaneous equations x + y = 29 and x − y = 15. Find the value of x.
22Add the two equations: 2x = 29 + 15 = 44, so x = 22 (and y = 7).
11. Solve the simultaneous equations x + y = 25 and x − y = 3. Find the value of x.
14Add the two equations: 2x = 25 + 3 = 28, so x = 14 (and y = 11).
12. Solve the simultaneous equations x + y = 27 and x − y = 9. Find the value of x.
18Add the two equations: 2x = 27 + 9 = 36, so x = 18 (and y = 9).
12 questions · Seed 104730 · Age guidance, not curriculum certification