SOLUTION: Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify R - [S + T].

Algebra ->  Equations -> SOLUTION: Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify R - [S + T].      Log On


   

Question 1206405: Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify R - [S + T].
Found 2 solutions by greenestamps, math_tutor2020:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Basic algebraic operations....

S%2BT=%28n%2B5%29%2B%28-m-3n%2B8%29
S%2BT=%28-m%29%2B%28n-3n%29%2B%285%2B8%29 <-- write the expression with variables first, in alphabetical order
S%2BT=-m-2n%2B13 <-- combine like terms

R-%28S%2BT%29=%2811-2m%29-%28-m-2n%2B13%29
R-%28S%2BT%29=%28-2m%2B11%29%2B%28m%2B2n-13%29 <-- subtraction is addition of the opposite
R-%28S%2BT%29=%28-2m%2Bm%29%2B%282n%29%2B%2811-13%29
R-%28S%2BT%29=-m%2B2n-2

Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

R = 11 - 2m
S = n + 5
T = -m - 3n + 8
Equation Q is never used.


R - [ S + T ]
R - [ (S) + (T) ]
11 - 2m - [ (n + 5) + (-m - 3n + 8) ]
11 - 2m - [ n + 5 -m - 3n + 8 ]
11 - 2m - [ -m-2n+13 ]
11 - 2m + m + 2n - 13
-m + 2n - 2


Or alternatively
R - [ S + T ]
R - S - T
(11-2m) - (n+5) - (-m-3n+8)
11-2m - n-5 + m+3n-8
-m + 2n - 2


Final Answer: -m + 2n - 2