Find the Domain 5x+5y=35

Problem

5*x+5*y=35

Solution

1. Identify the type of equation. The equation 5*x+5*y=35 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 see the functional relationship.

5*y=−5*x+35

3. Simplify the expression by dividing every term by 5

y=−x+7

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

5. Conclude that the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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