Math, asked by StarTbia, 1 year ago

3(x – 9) = 3x – 9, Find the errors and correct the given mathematical sentence.

Answers

Answered by Muskan1101
32
Hii..
Here is your answer..

Solution:-

=>3(x-9) is not equal to 3x-9

The correct answer is:-
 = > 3(x - 9) \\ = > 3x - 27
Hope it helps uh...✌️✌️✌️
Answered by pulakmath007
2

The error : There is a multiplication error as 9 will be 27 in RHS

Correct mathematical sentence : 3(x – 9) = 3x – 27

Given :

3(x – 9) = 3x – 9

To find :

The errors and correct the given mathematical sentence.

Formula :

Distributive Property

For three real numbers a , b , c

 \sf{a \times (b + c) = (a \times b) + (a \times c)}

Solution :

Step 1 of 3 :

Write down the given mathematical sentence

Here the given mathematical sentence is

3(x – 9) = 3x – 9

Step 2 of 3 :

Find error in the mathematical sentence

LHS = 3(x – 9)

RHS = 3x – 9

We simplify the LHS so that the RHS will be

= 3(x – 9)

= (3 × x) – (3 × 9) [ Applying Distributive Property ]

= 3x – 27

So the RHS will be 3x – 27 instead of 3x – 9

Hence there is a multiplication error as 9 will be 27 in RHS

Step 3 of 3 :

Correct the mathematical sentence

LHS = 3(x – 9)

Since RHS will be 3x – 27 instead of 3x – 9

So the correct RHS = 3x – 27

Hence the correct mathematical sentence is

3(x – 9) = 3x – 27

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