Find the Domain 5y=2x+10

Problem

5*y=2*x+10

Solution

1. Identify the type of equation provided. The equation 5*y=2*x+10 is a linear equation in two variables.

2. Solve for y to express the equation in slope-intercept form. Dividing both sides by 5 gives y=2/5*x+2

3. Analyze the resulting function ƒ(x)=2/5*x+2 This is a polynomial function of degree 1.

4. Determine if there are any restrictions. Polynomial functions do not have denominators containing variables or square roots of negative numbers.

5. Conclude that the independent variable x can take any real number value.

Final Answer

Domain=(−∞,∞)

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