Final answer:
The system of equations given in the question represents a set of linear equations. They are linear because each variable appears only to the first power and there are no variables in the exponents.
Step-by-step explanation:
The equations presented in the question a + 4b + 6c = 23, a + 2b + c = 2, and 6b + 20 = a + 14 can be classified based on their characteristics.
These are all linear equations, which can be identified by the fact that each variable is to the first power, and they graph as straight lines.
A linear equation is generally of the form y = mx + b, where m is the slope and b is the y-intercept.
In contrast, exponential equations involve variables in the exponent, such as y = a * bˣ, and they graph as curves that increase or decrease at an increasing rate.
The given system of equations represents multiple variables and their relationships in a linear manner because none of the variables are raised to a power other than one, nor are they present as exponents which would indicate an exponential relationship.
The given system of equations:
a + 4b + 6c = 23
a + 2b + c = 2
6b + 20 = a + 14
Is the relationship linear, exponential, or neither?
Linear
Exponential
Neither