Find the Domain -3y=5x-7

Problem

−3*y=5*x−7

Solution

1. Identify the type of equation. The equation −3*y=5*x−7 is a linear equation in two variables.

2. Solve for y to express the equation in slope-intercept form. Divide both sides by −3

y=(5*x−7)/(−3)

3. Simplify the expression for y

y=−5/3*x+7/3

4. Analyze the function for restrictions. Since this is a linear function, there are no denominators containing x no square roots of negative numbers, and no logarithms.

5. Determine the domain. For any real number x there is a corresponding real number y Therefore, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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