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Chapter 7: Q16. (page 247)

Find the value of x.

2x+14x鈭�1=23

Short Answer

Expert verified

The value of x is52 .

Step by step solution

01

Step 1. Given information.

The ratio here given is,

2x+14x鈭�1=23

02

Step 2. Concept and Formula Used.

The properties of proportion,

ifab=cd then,ad=bc

The given ratio is2x+14x鈭�1=23,

03

Step 3. Use the property of proportion, if ab=cd then, ad=bc.

Then,

3(2x+1)=2(4x鈭�1)6x+3=8x鈭�2(Usingdistributiveproperty)6x鈭�8x=鈭�2鈭�3鈭�2x=鈭�5

04

Step 4. Divide both sides by -2.

鈭�2x鈭�2=鈭�5鈭�2x=52

Therefore, the value of x is 52.

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