Find the Domain 4.5x-1.5y=5.4

Problem

4.5*x−1.5*y=5.4

Solution

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

2. Solve for y in terms of x to determine if there are any restrictions on the input variable x

3. Subtract 4.5*x from both sides of the equation.

−1.5*y=−4.5*x+5.4

4. Divide every term by −1.5 to isolate y

y=(−4.5*x)/(−1.5)+5.4/(−1.5)

5. Simplify the coefficients.

y=3*x−3.6

6. Analyze the resulting function. Since y=3*x−3.6 is a linear function, there are no denominators containing x and no square roots of negative values. Therefore, x can be any real number.

Final Answer

Domain: *(−∞,∞)

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