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Q.

Solve for x, 2−9x 17−4x = 4 5  .


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a

-1

b

1

c

2

d

-2 

answer is D.

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Detailed Solution

Given equation is 2−9x 17−4x = 4 5  .
Cross-multiplying both sides,
⇒5 2−9x =4 17−4x  
⇒   5(2)−5(9x)=4(17)−4(4x)  
Solving the brackets,
⇒   10−45x=68−16x  
Moving like terms to the same side,
⇒   −45x+16x=68−10  
⇒−29x=58 ⇒x= 58 −29 ⇒x=−2  
x=−2   is the solution of given linear equation 2−9x 17−4x = 4 5  
Hence, option 4 is correct.
 
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