Find the Domain (x-2)/5=(x+1)/3

Problem

(x−2)/5=(x+1)/3

Solution

1. Identify the type of equation. This is a linear equation involving rational expressions where the denominators are constants.

2. Check for variables in the denominators. The denominators are 5 and 3 which are non-zero constants.

3. Determine the restrictions. Since there are no variables in any denominator, there are no values of x that would cause division by zero.

4. Conclude the domain. Because the expression is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain=(−∞,∞)

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