Find the Domain 4x+3y=18

Problem

4*x+3*y=18

Solution

1. Identify the type of equation. The equation 4*x+3*y=18 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 express the relation as a function.

3*y=−4*x+18

y=−4/3*x+6

3. Determine any restrictions on the input variable x Since the expression −4/3*x+6 is a polynomial (specifically a linear function), it is defined for all real numbers. There are no denominators containing x that could be zero and no square roots of negative numbers.

4. State the domain in interval notation. Since there are no restrictions, the domain consists of all real numbers.

Final Answer

Domain:(−∞,∞)

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