Find the Domain -9z+5y=45

Problem

−9*z+5*y=45

Solution

1. Identify the type of equation. The equation −9*z+5*y=45 is a linear equation in two variables, z and y

2. Determine the independent and dependent variables. In a standard coordinate system, if we treat z as the independent variable (horizontal axis) and y as the dependent variable (vertical axis), we look for any restrictions on z

3. Analyze the expression for restrictions. A linear equation is a polynomial of degree 1. Polynomials do not have denominators containing variables, square roots of negative numbers, or logarithms.

4. Conclude the domain. Since there are no mathematical operations that would result in an undefined value for any real number z the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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