Final answer:
The given system of equations, composed of 7x + 2y = 24 and 2x + 1 = y, represents a system of linear equations, as each equation corresponds to a straight line in standard form.
Step-by-step explanation:
The system of equations in question is:
This can be classified as a system of linear equations because each equation represents a straight line when plotted on a graph. The standard form of a linear equation is y = mx + b, where m is the slope, and b is the y-intercept. In this case, the second equation can be written in standard form as y = 2x + 1, which clearly shows that it's a linear equation. Since both equations are linear, the system is linear.