Find the Domain 3x+y=12

Problem

3*x+y=12

Solution

1. Identify the type of equation. The equation 3*x+y=12 is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Solve for y to express the equation in slope-intercept form.

y=−3*x+12

3. Determine if there are any restrictions on the input variable x In a linear function, there are no denominators containing x no square roots of negative numbers, and no logarithms.

4. Conclude that x can be any real number because the expression −3*x+12 is defined for all real values of x

Final Answer

Domain: *(−∞,∞)

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