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Question

(2-7x)(1-5x)=(3+7x)(4+5x). Solve forx.


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Solution

Find the value ofx.

(2-7x)(1-5x)=(3+7x)(4+5x)

By applying alternendo,

(2-7x)(3+7x)=1-5x(4+5x)

Now applying Componendo and Dividendo,

(2-7x)+(3+7x)(2-7x)-(3+7x)=1-5x+(4+5x)1-5x-(4+5x)2-7x+3+7x2-7x-3-7x=1-5x+4+5x1-5x-4-5x5-1-14x=5-3-10x5-3-10x=5-1-14x-15-50x=-5-70x70x-50x=-5+1520x=10x=1020x=12

Hence, the value of x is12.


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