Answer:
A.consistent
D.one solution
Step-by-step explanation:
Assuming the system has equations
[tex]y=3x+2\\y=2x-1[/tex]
Then we can examine the gradients to make our choice without necessarily solving the equations.
Interestingly, both equations are in slope-intercept form. (y=mx+c) where m=3 is the slope of the first equation and m=2 is the slope of the second equation.
Since the slopes are not the same the lines are not parallel.
Non-parallel lines in the same plane will meet at only one point, there is only one solution.
The system is consistent because there exist a solution.
