Answer:
y = 2x + 4 and 2y - x = 8 represent a system of linear equations.
In this system, the variable x represents an unknown value, while the variable y represents a value that can be determined from the equation. The coefficient 2 in the first equation is an example of a math vocabulary term, indicating that the slope of the line is 2. The term "slope" is a mathematical term that describes the steepness of a line.
The term "system" is an academic vocabulary term that refers to a group of related equations or inequalities. In this case, we have a system of two linear equations that are related to each other.
The second math vocabulary term is "solution", which refers to the set of values of the variables that satisfies both equations in the system. In this case, the solution is the unique point (3, 10), where x = 3 and y = 10.
Finally, the academic vocabulary term "consistent" is used to describe a system of equations that has at least one solution. In this case, the system is consistent because it has exactly one solution, which means the two equations intersect at a single point.
Explanation: