SOLUTION: 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

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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

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
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%28+400%2C+400%2C+-7%2C+7%2C+-7%2C+7%2C+-2x-1%2C+-2x-7+%29

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