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Chapter 7: Q19. (page 247)

Find the value of x.

76x鈭�4=94x+6

Short Answer

Expert verified

The value of x is3 .

Step by step solution

01

Step 1. Given information.

The ratio here given is,

76x鈭�4=94x+6

02

Step 2. Concept and Formula Used.

The properties of proportion,

ifab=cd then,ad=bc

The given ratio is76x鈭�4=94x+6,

03

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

Then,

7(4x+6)=9(6x鈭�4)28x+42=54x鈭�36(Usingdistributiveproperty)28x鈭�54x=鈭�36鈭�42鈭�26x=鈭�78

04

Step 4. Divide both sides by -26.

鈭�26x鈭�26=鈭�78鈭�26x=3

Therefore, the value of x is 3.

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