Answer:

If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. ... The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

Step-by-step explanation:

The two equations y=2x+5 and y=4x+3 , form a system of equations . The ordered pair that is the solution of both equations is the solution of the system.

A system of two linear equations can have one solution, an infinite number of solutions, or no solution. Systems of equations can be classified by the number of solutions.

If a system has at least one solution, it is said to be consistent .

If a consistent system has exactly one solution, it is independent .

content://com.android.chrome.FileProvider/images/screenshot/16362051926191854091111.gif

If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

content://com.android.chrome.FileProvider/images/screenshot/163620521575436592548.gif

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

content://com.android.chrome.FileProvider/images/screenshot/16362052304731170073845.gif