Which of the following is an equation with one constant, two coefficients, and three terms?(1 point) Responses 3x−4=5y 3 x minus 4 equals 5 y 3x−4y=5y 3 x minus 4 y equals 5 y 3x−y=5y 3 x minus y equals 5 y 3x−4y=5x

Answer 1

To identify an equation with one constant, two coefficients, and three terms, we can analyze the given options:

1. \(3x - 4 = 5y\)

   • This equation has three terms: \(3x\), \(-4\), and \(5y\). It has two coefficients (3 and 5) and one constant (-4).

2. \(3x - 4y = 5y\)

   • This has three terms: \(3x\), \(-4y\), and \(5y\). It has two coefficients (3 and -4, with 5 for \(y\)) and no constant term.

3. \(3x - y = 5y\)

   • This has three terms: \(3x\), \(-y\), and \(5y\). It has two coefficients (3 and -1 for \(y\), since \(-y\) is -1 times \(y\)), and no constant term.

4. \(3x - 4y = 5x\)

   • This has three terms: \(3x\), \(-4y\), and \(5x\). It has two coefficients (3 and -4) and no constant term.

Based on this analysis, the first option, \(3x - 4 = 5y\), is the equation that meets the criteria of having one constant, two coefficients, and three terms.