Find the Domain 4x+2y=20

Problem

4*x+2*y=20

Solution

1. Identify the type of equation. The equation 4*x+2*y=20 is a linear equation in two variables.

2. Solve for y to express the equation as a function of x

2*y=−4*x+20

3. Simplify the expression by dividing all terms by 2

y=−2*x+10

4. Determine the restrictions on the input variable x Since the expression −2*x+10 is a polynomial, it is defined for all real numbers.

5. State the domain in interval notation. There are no values of x that result in division by zero or the square root of a negative number.

Final Answer

Domain:(−∞,∞)

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