Mathematics 9 (Complete Solutions)

Q2
Fill in the following blanks by stating the properties of the real numbers used.

3x + 3(y - x)
= 3x + 3y - 3x,     ......
= 3x - 3x + 3y,     ......
= 0 + 3y     ......
= 3y     ......


Solution:

3x + 3(y - x)

Step 1
= 3x + 3y - 3x,    
Distributive property

Step 2
= 3x - 3x + 3y,    
Commutative property

Step 3
= 0 + 3y    
Additive Inverse

Step 4
= 3y    
Additive Identity

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