Question:x = 5a + 7b + 9c, y = b - 3a - 4c, z = c - 2b + a. ক. z থেকে a - c বিয়োগ কর । খ. দেখাও যে, x + y + z = 3(a + 2b + 2c) গ. প্রমান কর যে, (x + y) - (a + 10b + 4c) = z
Answer ক. দেওয়া আছে, z = c - 2b + a :. z - (a - c) = c - 2b + a - a + c = 2c - 2b খ. দেওয়া আছে, x = 5a + 7b + 9c, y = b - 3a - 4c, z = c - 2b + a x + y + z = (5a + 7b + 9c) + (b - 3a - 4c) + (c - 2b + a) = 5a + 7b + 9c + b - 3a - 4c + c - 2b + a = (5a - 3a + a) + (7b + b - 2b) + (9c - 4c + c) = 3a + 6b + 6c = 3 (a + 2b + 2c) :. (x + y + z) = 3 (a + 2b + 2c) গ. (x + y) - (a + 10b + 4c) = (5a + 7b + 9c) + (b - 3a - 4c) - (a + 10b + 4c) = 5a + 7b + 9c + b - 3a - 4c - a - 10b - 4c = (5a - a - 3a) + (7b + b - 10b) + (9c - 4c - 4c) = a - 2b + c = c - 2b + a = z :. (x + y) - (a + 10b + 4c) = z
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x = 5a + 7b + 9c, y = b - 3a - 4c, z = c - 2b + a. ka. z theke a - c biyog kar . kh. dekhao je, x + y + z = 3(a + 2b + 2c) ga. proman kar je, (x + y) - (a + 10b + 4c) = z