Find the Domain a+7b=8

Problem

a+7*b=8

Solution

1. Identify the type of equation. This is a linear equation in two variables, a and b

2. Determine the context of the domain. In the context of a function where b is the independent variable and a is the dependent variable, we solve for a to see if there are any restrictions.

3. Solve for a by subtracting 7*b from both sides.

a=8−7*b

4. Analyze the resulting expression. The expression 8 - 7b$ is a polynomial, which is defined for all real numbers. There are no denominators that could be zero and no square roots of negative numbers.

5. Conclude that the domain for the independent variable b is all real numbers. Similarly, if a were the independent variable, its domain would also be all real numbers.

Final Answer

Domain: *(−∞,∞)

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