Find the Domain 3x+2y=7

Problem

3*x+2*y=7

Solution

1. Identify the type of equation. The equation 3*x+2*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 in slope-intercept form.

2*y=−3*x+7

y=−3/2*x+7/2

3. Analyze the expression for restrictions. In the expression y=−3/2*x+7/2 there are no denominators containing x no square roots of negative numbers, and no logarithms.

4. Determine the domain. Since the expression is defined for all real numbers x the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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