Find the Domain 5=3x-2y

Problem

5=3*x−2*y

Solution

1. Identify the type of equation provided. The equation 5 = 3x - 2yi*s(a)*l*i*n*e*a*r*e*q*u*a*t*i*o*n*i*n*t*w*o*v*a*r*i*a*b*l*e*s,a*n*d$.

2. Solve for y in terms of x to express the equation as a function y=ƒ(x)

2*y=3*x−5

y=(3*x−5)/2

3. Analyze the resulting expression for any restrictions. The expression (3*x−5)/2 is a polynomial (specifically a linear function).

4. Determine if there are any values of x that would cause division by zero or result in non-real numbers. Since there are no variables in the denominator and no square roots of negative numbers, the function is defined for all real numbers.

5. Conclude that the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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