Answer:
Q - [R + S] - T = 10m + 5n - 24 ⇒ 1st answer
Explanation:
* Lets explain how to solve the problem
- The value of Q = 7m + 3n
- The value of R = 11 - 2m
- The value of S = n + 5
- The value of T = -m - 3n + 8
* To simplify Q - [R + S ] - T substitute the value of each letter in
the expression
- Lets find R + S
∵ R = 11 - 2m
∵ S = n + 5
∴ R + S = 11 - 2m + n + 5 ⇒ coolect the like term
∴ R + S = 16 - 2m + n
∵ Q = 7m + 3n
∵ T = -m - 3n + 8
- Lets simplify the rest of the expression
- Remember (-)(-) = + and (-)(+) = -
∵ Q - [R + S] - T = (7m + 3n) - (16 - 2m + n) - (-m - 3n + 8)
∴ Q - [R + S] - T = 7m + 3n -16 + 2m - n + m + 3n - 8 ⇒ add like terms
∴ Q - [R + S] - T = (7m + 2m + m) + (3n - n + 3n) + (-16 - 8)
∴ Q - [R + S] - T = 10m + 5n - 24