Find the Domain 2x+y=7

Problem

2*x+y=7

Solution

1. Identify the type of equation. The equation 2*x+y=7 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y to express the equation as a function of x Subtract 2*x from both sides to get y=−2*x+7

3. Analyze the expression for restrictions. The expression −2*x+7 is a polynomial. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

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

Final Answer

Domain: *(−∞,∞)

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