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Example      Solve

Solution :     Rewriting,

      Adding 1 to each side,

      Multiplying by 7 to each side, x = 63

Example      Solve

Solution :      Multiplying by 9 to both sides,

Dividing each sides by 2, x = 6

Transposition :

Any term of an equation may be moved from one side to the other if the sign proceeding it is changed from + to - or from - to + as the case may be.

This movement is called transposition.

Example Solve 3 (2x + 1) + 4 = 8x + 1

Solution : Removing brackets, 6x + 3 + 4 = 8x + 1

\ 6x + 7 = 8x + 1

Moving 6x tothe right and 1 to the left side,

7 - 1 = 8x - 6x

6 = 2x

i.e. 2x = 6

x = 3

Check : - When x = 3, 3 (2 x + 1) + 4

= 3 (6+1) + 4

= 25

also  8 x +1 = 8 (3) +1

= 25

Index

7.1 Definition
7.2 Simultaneous Equations
7.3 Inequations (Inequalities)
7.4 Absolute Values

Chapter 8

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