Is this function linear or nonlinear? Why? Provide your response using at least one complete sentence. 2x+3y-x-y=4

1 answer

The equation \(2x + 3y - x - y = 4\) can be simplified to \(x + 2y = 4\), which is a linear equation in standard form; therefore, this function is linear because it can be expressed as a first-degree polynomial with respect to both variables \(x\) and \(y\).