Find the Domain 4x+2y=10

Problem

4*x+2*y=10

Solution

1. Identify the type of equation. The given equation 4*x+2*y=10 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. Subtract 4*x from both sides and then divide by 2

2*y=−4*x+10

y=−2*x+5

3. Determine the restrictions on the input variable x In the linear function y=−2*x+5 there are no square roots of negative numbers, no divisions by zero, and no logarithms of non-positive numbers.

4. Conclude the domain. Since the expression is defined for all real numbers, the domain consists of all values from negative infinity to positive infinity.

Final Answer

Domain:(−∞,∞)

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