The document solves three systems of simultaneous equations. The first system is x + 2y = 10 and 2x + 3y = 18, which is solved to get x = 6 and y = 2. The second system is x + 3y = 11 and 2x + 3y = 13, which is solved to get x = 2 and y = 3. The third system is 4x + 5y = 14 and 3x + 3y = 9, which is solved to get x = 1 and y = 2.

1. x + 2y = 10
2x + 3y = 18
Simultaneous Equations

2. x + 2y = 10
2x + 3y = 18
x= (18x2)-(10x3)
Simultaneous Equations

3. x + 2y = 10
2x + 3y = 18
x= (18x2)-(10x3)
(2x2)-(3x1)
Simultaneous Equations

4. x + 2y = 10
2x + 3y = 18
x= (18x2)-(10x3) = 36-30
(2x2)-(3x1) 4-3
Simultaneous Equations

5. x + 2y = 10
2x + 3y = 18
x= (18x2)-(10x3) = 36-30 = 6
(2x2)-(3x1) 4-3 1
Simultaneous Equations

6. x + 2y = 10
2x + 3y = 18
x= (18x2)-(10x3) = 36-30 = 6 = 6
(2x2)-(3x1) 4-3 1
Simultaneous Equations

7. x + 2y = 10
2x + 3y = 18
x= (18x2)-(10x3) = 36-30 = 6 = 6
(2x2)-(3x1) 4-3 1
Putting x=6 in above equation we get, y=2
Simultaneous Equations

8. x + 3y = 11
2x + 3y = 13
Simultaneous Equations

9. x + 3y = 11
2x + 3y = 13
x= (13x3)-(11x3)
Simultaneous Equations

10. x + 3y = 11
2x + 3y = 13
x= (13x3)-(11x3)
(3x2)-(3x1)
Simultaneous Equations

11. x + 3y = 11
2x + 3y = 13
x= (13x3)-(11x3) = 39-33
(3x2)-(3x1) 6-3
Simultaneous Equations

12. x + 3y = 11
2x + 3y = 13
x= (13x3)-(11x3) = 39-33 = 6
(3x2)-(3x1) 6-3 3
Simultaneous Equations

13. x + 3y = 11
2x + 3y = 13
x= (13x3)-(11x3) = 39-33 = 6 = 2
(3x2)-(3x1) 6-3 3
Simultaneous Equations

14. x + 3y = 11
2x + 3y = 13
x= (13x3)-(11x3) = 39-33 = 6 = 2
(3x2)-(3x1) 6-3 3
Putting x=2 in above equation we get, y=3
Simultaneous Equations

15. 4x + 5y = 14
3x + 3y = 9
Simultaneous Equations

16. 4x + 5y = 14
3x + 3y = 9
x= (9x5)-(14x3)
Simultaneous Equations

17. 4x + 5y = 14
3x + 3y = 9
x= (9x5)-(14x3)
(3x5)-(3x4)
Simultaneous Equations

18. 4x + 5y = 14
3x + 3y = 9
x= (9x5)-(14x3) = 45-42
(3x5)-(3x4) 15-12
Simultaneous Equations

19. 4x + 5y = 14
3x + 3y = 9
x= (9x5)-(14x3) = 45-42 = 3
(3x5)-(3x4) 15-12 3
Simultaneous Equations

20. 4x + 5y = 14
3x + 3y = 9
x= (9x5)-(14x3) = 45-42 = 3 = 1
(3x5)-(3x4) 15-12 3
Simultaneous Equations

21. 4x + 5y = 14
3x + 3y = 9
x= (9x5)-(14x3) = 45-42 = 3 = 1
(3x5)-(3x4) 15-12 3
Putting x=1 in above equation we get, y=2
Simultaneous Equations