How do you simplify 1/3x+2/7x-3/4y-1/2y?

1 Answer
seol
Nov 21, 2016

simplified form

  • 20/21x-5/4y

Explanation:

goal: simplify the equation to have only two terms

calculations:
split up x terms and y terms; simplify separately

set the denominators of all terms with variable x equal, and simplify
1/3x+2/7x\rArr1/3x(7/7)+2/7x(3/3)=14/21x+6/21x=20/21x
set the denominators of all terms with variable y equal, and simplify
-3/4y-1/2y\rArr-3/4y-1/2y(2/2)=-3/4y-2/4y=-5/4y

combine the previously simplified forms
20/21x-5/4y

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