Find the Domain -4y+7x=18

Problem

−4*y+7*x=18

Solution

1. Identify the type of equation. The equation −4*y+7*x=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.

−4*y=−7*x+18

y=7/4*x−18/4

y=7/4*x−9/2

3. Determine the restrictions on the input variable x Since the expression 7/4*x−9/2 is a polynomial (specifically a linear function), there are no values of x that result in division by zero or the square root of a negative number.

4. Conclude that the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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