Find the Domain -4x+3y=24

Problem

−4*x+3*y=24

Solution

1. Identify the type of equation. The given equation −4*x+3*y=24 is a linear equation in two variables.

2. Solve for y to express the equation in slope-intercept form. Add 4*x to both sides and divide by 3

3*y=4*x+24

y=4/3*x+8

3. Analyze the resulting function ƒ(x)=4/3*x+8 This is a polynomial function of degree 1.

4. Determine the restrictions. Since there are no denominators containing x and no even roots, there are no values of x that make the expression undefined.

5. Conclude that the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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