Find the Domain 4x-7y=18

Problem

4*x−7*y=18

Solution

1. Identify the type of equation. This is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y in terms of x to determine if there are any restrictions on the input values.

4*x−7*y=18

−7*y=−4*x+18

y=4/7*x−18/7

3. Analyze the resulting function. The expression 4/7*x−18/7 is a polynomial of degree 1. Polynomials are defined for all real numbers because there are no denominators containing x that could be zero and no even roots of negative numbers.

4. Determine the domain. Since any real number can be substituted for x to produce a valid real number for y the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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