Find the Domain -3x+8y=17

Problem

−3*x+8*y=17

Solution

1. Identify the type of equation. This is a linear equation in two variables, which represents a straight line in the Cartesian plane.

2. Determine the constraints on the independent variable x In a linear function of the form y=m*x+b there are no square roots of negative numbers, no logarithms of non-positive numbers, and no denominators that could equal zero.

3. Solve for y to express the relation as a function of x

8*y=3*x+17

y=(3*x+17)/8

4. Conclude that since the expression (3*x+17)/8 is defined for all real numbers, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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