Find the Domain 7x-20y=18

Problem

7*x−20*y=18

Solution

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

2. Determine the definition of domain. In the context of a function y=ƒ(x) the domain is the set of all possible input values for x that result in a valid, real output for y

3. Solve for y in terms of x to check for restrictions.

−20*y=−7*x+18

y=7/20*x−9/10

4. Analyze the resulting expression. Since the expression is a polynomial of degree 1, there are no denominators containing x that could be zero and no square roots of negative numbers.

5. Conclude that x can be any real number.

Final Answer

Domain: *(−∞,∞)

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