Find the Domain 12x-3y=21

Problem

12*x−3*y=21

Solution

1. Identify the type of equation. The equation 12*x−3*y=21 is a linear equation in two variables.

2. Solve for y to express the equation in slope-intercept form. Subtract 12*x from both sides.

−3*y=−12*x+21

3. Divide every term by −3 to isolate y

y=4*x−7

4. Determine the domain. Since y=4*x−7 is a polynomial (specifically a linear function), there are no restrictions such as division by zero or square roots of negative numbers. The function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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