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 = 6 and x − y = 4. Find the value of x.
2. Solve the simultaneous equations x + y = 22 and x − y = 6. Find the value of x.
3. Solve the simultaneous equations x + y = 11 and x − y = 9. Find the value of x.
4. Solve the simultaneous equations x + y = 21 and x − y = 7. Find the value of x.
5. Solve the simultaneous equations x + y = 23 and x − y = 21. Find the value of x.
6. Solve the simultaneous equations x + y = 44 and x − y = 4. Find the value of x.
7. Solve the simultaneous equations x + y = 8 and x − y = 4. Find the value of x.
8. Solve the simultaneous equations x + y = 12 and x − y = 10. 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 = 18 and x − y = 4. Find the value of x.
11. Solve the simultaneous equations x + y = 25 and x − y = 11. Find the value of x.
12. Solve the simultaneous equations x + y = 15 and x − y = 7. Find the value of x.
12 questions · Seed 104745 · 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 = 6 and x − y = 4. Find the value of x.
5Add the two equations: 2x = 6 + 4 = 10, so x = 5 (and y = 1).
2. Solve the simultaneous equations x + y = 22 and x − y = 6. Find the value of x.
14Add the two equations: 2x = 22 + 6 = 28, so x = 14 (and y = 8).
3. 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).
4. 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).
5. Solve the simultaneous equations x + y = 23 and x − y = 21. Find the value of x.
22Add the two equations: 2x = 23 + 21 = 44, so x = 22 (and y = 1).
6. 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).
7. 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).
8. Solve the simultaneous equations x + y = 12 and x − y = 10. Find the value of x.
11Add the two equations: 2x = 12 + 10 = 22, so x = 11 (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 = 18 and x − y = 4. Find the value of x.
11Add the two equations: 2x = 18 + 4 = 22, so x = 11 (and y = 7).
11. Solve the simultaneous equations x + y = 25 and x − y = 11. Find the value of x.
18Add the two equations: 2x = 25 + 11 = 36, so x = 18 (and y = 7).
12. Solve the simultaneous equations x + y = 15 and x − y = 7. Find the value of x.
11Add the two equations: 2x = 15 + 7 = 22, so x = 11 (and y = 4).
12 questions · Seed 104745 · 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 = 6 and x − y = 4. Find the value of x.
2. Solve the simultaneous equations x + y = 22 and x − y = 6. Find the value of x.
3. Solve the simultaneous equations x + y = 11 and x − y = 9. Find the value of x.
4. Solve the simultaneous equations x + y = 21 and x − y = 7. Find the value of x.
5. Solve the simultaneous equations x + y = 23 and x − y = 21. Find the value of x.
6. Solve the simultaneous equations x + y = 44 and x − y = 4. Find the value of x.
7. Solve the simultaneous equations x + y = 8 and x − y = 4. Find the value of x.
8. Solve the simultaneous equations x + y = 12 and x − y = 10. 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 = 18 and x − y = 4. Find the value of x.
11. Solve the simultaneous equations x + y = 25 and x − y = 11. Find the value of x.
12. Solve the simultaneous equations x + y = 15 and x − y = 7. Find the value of x.
12 questions · Seed 104745 · 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 = 6 and x − y = 4. Find the value of x.
5Add the two equations: 2x = 6 + 4 = 10, so x = 5 (and y = 1).
2. Solve the simultaneous equations x + y = 22 and x − y = 6. Find the value of x.
14Add the two equations: 2x = 22 + 6 = 28, so x = 14 (and y = 8).
3. 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).
4. 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).
5. Solve the simultaneous equations x + y = 23 and x − y = 21. Find the value of x.
22Add the two equations: 2x = 23 + 21 = 44, so x = 22 (and y = 1).
6. 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).
7. 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).
8. Solve the simultaneous equations x + y = 12 and x − y = 10. Find the value of x.
11Add the two equations: 2x = 12 + 10 = 22, so x = 11 (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 = 18 and x − y = 4. Find the value of x.
11Add the two equations: 2x = 18 + 4 = 22, so x = 11 (and y = 7).
11. Solve the simultaneous equations x + y = 25 and x − y = 11. Find the value of x.
18Add the two equations: 2x = 25 + 11 = 36, so x = 18 (and y = 7).
12. Solve the simultaneous equations x + y = 15 and x − y = 7. Find the value of x.
11Add the two equations: 2x = 15 + 7 = 22, so x = 11 (and y = 4).
12 questions · Seed 104745 · Age guidance, not curriculum certification