Final answer:
Without additional information about the function x(t), we cannot definitively classify the system represented by y(t)=2t+x(t) as linear or non-linear.
Step-by-step explanation:
To determine if the system represented by the equation y(t)=2t+x(t) is linear or non-linear, we need to look at the equation's structure in relation to the standard form of a linear equation, which is y = a + bx. Here a is the y-intercept and b is the slope. The given function y(t) expresses y as a function of t, assuming that x(t) is also linear in t. If x(t) is a linear function of the form at + b, then y(t) would be a sum of two linear terms in t, which would maintain its linearity. However, if x(t) is not linear, then y(t) would not be linear either.
In conclusion, without additional information about the function x(t), we cannot definitively classify the system as linear or non-linear.