Find the Domain x/5-y/10=-5

Problem

x/5−y/10=−5

Solution

1. Identify the type of equation. This is a linear equation in two variables, x and y

2. Determine the constraints on the variables. In a linear equation of the form A*x+B*y=C there are no denominators containing variables, no square roots of negative numbers, and no logarithms.

3. Analyze the variable x Since x is in the numerator of a fraction with a constant denominator, it can take any real number value without making the expression undefined.

4. Conclude the domain. The domain of a linear relation, unless otherwise specified by context or restricted by the range, consists of all real numbers.

Final Answer

Domain:(−∞,∞)

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