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

1 Answer
Nov 21, 2016

Answer:

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#