SOLUTION: Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify R - [S + T].
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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(13200) (Show Source): You can put this solution on YOUR website!
Basic algebraic operations....
<-- write the expression with variables first, in alphabetical order
<-- combine like terms
<-- subtraction is addition of the opposite
Answer by math_tutor2020(3816) (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
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