Given #Q=7m+3n, R=11-2m, S=n+5#, and #T=-m-3n+8#, what is #R-S+T#?

1 Answer
Jim G.
Sep 8, 2016

#14-3m-4n#

Explanation:

Substitute each of the values allocated to each of the variables R ,S and T.

#rArrR-S+T=(color(blue)(11-2m))-(color(red)(n+5))+(color(magenta)(-m-3n+8))#

now distribute brackets.

#=11-2m-n-5-m-3n+8#

and collect like terms.

#(11-5+8)+(-2m-m)+(-n-3n)#

#=14+(-3m)+(-4n)=14-3m-4n#

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