Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify Q - [R + S] - T.10m + 5n - 2410m - 5n + 2410m + 7n - 1410m - 7n - 14
Accepted Solution
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Answer:Q - [R + S] - T = 10m + 5n - 24 ⇒ 1st answerStep-by-step 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