Find the Domain -18x+81y=-72

Problem

−18*x+81*y=−72

Solution

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

2. Solve for y in terms of x to express the equation as a function y=ƒ(x)

3. Isolate the y term by adding 18*x to both sides.

81*y=18*x−72

4. Divide both sides by 81 to solve for y

y=(18*x−72)/81

5. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, 9

y=(2*x−8)/9

6. Analyze the resulting function. Since y=2/9*x−8/9 is a polynomial (specifically a linear function), there are no values of x that cause division by zero or result in non-real numbers.

7. Determine the domain. For all linear functions of the form y=m*x+b the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!