Question

Запиши все возможные варианты остачи: а:7=b (ост...).

Answer 1

Variants of the Equation: a = 7 - b (remainder)

There are several possible variants for the equation `a = 7 - b` with a remainder. Let's explore them:

1. a = 7 - b (remainder 0): In this case, `a` is equal to `7 - b` without any remainder. This means that `b` can take any value from 0 to 7, inclusive, and `a` will be the result of subtracting `b` from 7. For example: - When `b = 0`, `a = 7 - 0 = 7`. - When `b = 3`, `a = 7 - 3 = 4`. - When `b = 7`, `a = 7 - 7 = 0`.

2. a = 7 - b (remainder 1): In this case, `a` is equal to `7 - b` with a remainder of 1. This means that `b` can take any value from 1 to 8, inclusive, and `a` will be the result of subtracting `b` from 7, with a remainder of 1. For example: - When `b = 1`, `a = 7 - 1 = 6` with a remainder of 1. - When `b = 5`, `a = 7 - 5 = 2` with a remainder of 1. - When `b = 8`, `a = 7 - 8 = -1` with a remainder of 1.

3. a = 7 - b (remainder 2): In this case, `a` is equal to `7 - b` with a remainder of 2. This means that `b` can take any value from 2 to 9, inclusive, and `a` will be the result of subtracting `b` from 7, with a remainder of 2. For example: - When `b = 2`, `a = 7 - 2 = 5` with a remainder of 2. - When `b = 6`, `a = 7 - 6 = 1` with a remainder of 2. - When `b = 9`, `a = 7 - 9 = -2` with a remainder of 2.

4. a = 7 - b (remainder 3): In this case, `a` is equal to `7 - b` with a remainder of 3. This means that `b` can take any value from 3 to 10, inclusive, and `a` will be the result of subtracting `b` from 7, with a remainder of 3. For example: - When `b = 3`, `a = 7 - 3 = 4` with a remainder of 3. - When `b = 7`, `a = 7 - 7 = 0` with a remainder of 3. - When `b = 10`, `a = 7 - 10 = -3` with a remainder of 3.

These are the possible variants of the equation `a = 7 - b` with different remainders. The values of `a` and `b` will depend on the specific remainder desired.