Find the Domain 7x+8y-5=0

Problem

7*x+8*y−5=0

Solution

1. Identify the type of equation. The equation 7*x+8*y−5=0 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.

8*y=−7*x+5

y=−7/8*x+5/8

3. Analyze the resulting function for any restrictions. Since the expression −7/8*x+5/8 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. Determine the domain. Because the function is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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