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How would you go about simplifying this equation?

How would you go about simplifying this equation?-example-1

1 Answer

5 votes

Answer:

See explanation below.

Explanation:


(x-2y)/(4y)+(4x-y)/(4y)\\\\\mathrm{Apply\:rule}\:(a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)\\\\=(x-2y+4x-y)/(4y)\\\\\mathrm{Group\:like\:terms}:\\\\=(x+4x-2y-y)/(4y)\\\\\mathrm{Add\:similar\:elements:}\:x+4x=5x\\\\=(5x-2y-y)/(4y)\\\\\mathrm{Add\:similar\:elements:}\:-2y-y=-3y\\\\=(5x-3y)/(4y)

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