Find the Domain 12x=134y

Problem

12*x=134*y

Solution

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

2. Solve for y to express it as a function of x

y=(12*x)/134

3. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2

y=(6*x)/67

4. Determine if there are any restrictions on the input variable x Since the expression is a polynomial (specifically a linear function), there are no denominators containing x and no square roots of negative numbers.

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

Final Answer

Domain: *(−∞,∞)

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