use the graph to determine the number of solutions the system has. then state whether the system of…

use the graph to determine the number of solutions the system has. then state whether the system of equations is consistent or inconsistent and if it is independent or dependent. $4x + 6y = 12$ $2x + 3y = 6$ a) 1 solution; consistent and independent b) 1 solution; consistent and dependent c) no solution; inconsistent d) infinitely many solutions; consistent and dependent

use the graph to determine the number of solutions the system has. then state whether the system of equations is consistent or inconsistent and if it is independent or dependent. $4x + 6y = 12$ $2x + 3y = 6$ a) 1 solution; consistent and independent b) 1 solution; consistent and dependent c) no solution; inconsistent d) infinitely many solutions; consistent and dependent

Answer

Explanation:

Step1: Simplify the first equation

Divide the equation (4x + 6y=12) by (2). We get (2x + 3y = 6).

Step2: Analyze the system of equations

The system of equations is (\begin{cases}4x + 6y=12\2x + 3y = 6\end{cases}). After simplification, both equations represent the same line.

Answer:

D. infinitely many solutions; consistent and dependent