SOLUTION: Solve the following by addition. If a unique solution does not exist, state whether the system in inconsistent or dependent. x + 5y = 10 -2x - 10y = -20 I appreciate any help

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Question 109736: Solve the following by addition. If a unique solution does not exist, state whether the system in inconsistent or dependent.
x + 5y = 10
-2x - 10y = -20
I appreciate any help
thanks
Heather

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
multiplying the first equation by -2 results in the second equation
... this means that the equations are essentially the same

the system is consistent (it is the same equation)
... but because there is only one equation, there is no unique solution (dependent)

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