Question 212995
Solve the system of equations graphically, If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent for the following problem


2x+y=-1
2x+y=-7


Step 1.  Here's a graph of the two lines. 

{{{graph( 400, 400, -7, 7, -7, 7, -2x-1, -2x-7 )}}}


Step 2.  Note the lines are parallel and both lines have a slope of 2.  As you can observe, there is no way the lines are going to intersect...so no solution.


Step 3.  The system is inconsistent since there is no solution.



I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J