Find the Domain 2x+7y=18

Problem

2*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.

7*y=−2*x+18

y=−2/7*x+18/7

3. Analyze the resulting function. The expression −2/7*x+18/7 is a polynomial of degree 1.

4. Determine restrictions. Since there are no even roots, logarithms, or variables in the denominator, the expression is defined for all real numbers.

5. State the domain in interval notation. The domain is the set of all possible x values, which is (−∞,∞)

Final Answer

Domain:(−∞,∞)

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