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

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> 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       Log On

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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) About Me  (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)