How do you simplify #(14x - 28y ) \div [ - 7( x - 2y ) ]#?

1 Answer
smendyka
May 8, 2017

See a solution process below:

Explanation:

First, rewrite this expression as:

#(14x - 28y)/(-7(x - 2y))#

Next, factor #color(red)(14)# out of each term in the numerator:

#((color(red)(14) * x) - (color(red)(14) * 2y))/(-7(x - 2y)) => (14(x - 2y))/(-7(x - 2y))#

Then, cancel common terms in the numerator and denominator:

#(color(red)(cancel(color(black)(14)))2color(blue)(cancel(color(black)((x - 2y)))))/(-color(red)(cancel(color(black)(7)))color(blue)(cancel(color(black)((x - 2y))))) => -2#

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