This document discusses methods for solving linear equations, including cross multiplication and substitution. It provides examples of using these methods to solve pairs of linear equations and equations that can be reduced to a pair of linear equations with two variables. It also contains word problems that can be modeled with linear equations and discusses whether a pair of example equations represent coincident or parallel lines based on having consistent or inconsistent solutions.

1. MISHAL CHAUHAN
STHITPRAGYA SCIENCE CLASSES, GANDHIDHAM
CLASS 10
CHAPTER - 3
MODULE – 2

2. WHAT SHALL WE LEARN
TODAY?
 CROSS MULTIPLICATION METHOD
 SUBSTITUTION TYPE CONVERTIBLE
LINEAR EQUATIONS
 WORD PROBLEMS

3. METHOD OF CROSS
MULTIPLICATION

4. METHOD OF CROSS
MULTIPLICATION

5. METHOD OF CROSS MULTIPLICATION
EXAMPLE - 1

6. METHOD OF CROSS MULTIPLICATION
EXAMPLE - 1
Sol:

7. METHOD OF CROSS MULTIPLICATION
EXAMPLE - 1

8. METHOD OF CROSS MULTIPLICATION
EXAMPLE - 2

9. METHOD OF CROSS MULTIPLICATION
EXAMPLE - 2
Sol:

10. METHOD OF CROSS MULTIPLICATION
EXAMPLE - 2

11. METHOD OF CROSS MULTIPLICATION
HOMEWORK - 1

12. EQUATIONS REDUCIBLE TO A PAIR OF
LINEAR EQUATIONS IM TWO VARIABLE
EXAMPLE - 3

13. EQUATIONS REDUCIBLE TO A PAIR OF
LINEAR EQUATIONS IM TWO VARIABLE
EXAMPLE - 3
Sol:

14. EQUATIONS REDUCIBLE TO A PAIR OF
LINEAR EQUATIONS IM TWO VARIABLE

15. EQUATIONS REDUCIBLE TO A PAIR OF
LINEAR EQUATIONS IM TWO VARIABLE
EXAMPLE - 4

16. EQUATIONS REDUCIBLE TO A PAIR OF
LINEAR EQUATIONS IM TWO VARIABLE
EXAMPLE - 4

17. FORMATION OF PAIR OF LINEAR
EQUATION IN TWO VARIABLE

18. FORMATION OF PAIR OF LINEAR
EQUATION IN TWO VARIABLE
HOMEWORK - 2

19. REVISION EXAMPLE YESTERDAY’S SLIDES
Do the equations 4x + 3y – 1 = 5 and 12x + 9y = 15
represent a pair of coincident lines? Justify your answer.

20. REVISION EXAMPLE YESTERDAY’S SLIDES
Do the equations 4x + 3y – 1 = 5 and 12x + 9y = 15
represent a pair of coincident lines? Justify your answer.
LINES ARE PARALLEL.
PARALLEL LINES
ARE INCONSISTANT.

21. REVISION EXAMPLE YESTERDAY’S SLIDES

22. REVISION EXAMPLE YESTERDAY’S SLIDES

23. REVISION EXAMPLE YESTERDAY’S SLIDES
AS LINES ARE CO-INCIDENT.
COINCIDENT LINES ARE CONSISTAT
AS INFINITE NUMBER OF SOLUTIONS.

24. WORD PROBLEMS

25. WORD PROBLEMS
Sol:

26. WORD PROBLEMS

27. WORD PROBLEMS

28. WORD PROBLEMS
Sol:

29. WORD PROBLEMS
UNDERSTAND:
DOWNSTREAM SPEED IS
MORE,
UPSTREAM SPEED IS LESS DUE
TO WATER FLOW HINDRANCE!

30. WORD PROBLEMS