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Find the Domain 5x-2y=-10

Problem

5*x−2*y=−10

Solution

  1. Identify the type of equation. The equation 5*x−2*y=−10 is a linear equation in two variables.

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

−2*y=−5*x−10

  1. Divide both sides by −2 to isolate y

y=5/2*x+5

  1. Determine the domain. Since the resulting function is a linear polynomial, there are no values of x that would cause division by zero or result in an undefined expression.

  2. Conclude that the domain includes all real numbers.

Final Answer

Domain: *(−∞,∞)


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