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

Algebra ->  Equations -> SOLUTION: Solve the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. x + 5y = 10 -2x - 10y = -20      Log On


   

Question 71887This question is from textbook
: Solve the following systems by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
x + 5y = 10
-2x - 10y = -20 This question is from textbook

Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
x+%2B+5y+=++10 ___________(1)
-2x+-+10y+=+-20 ___________(2)
Multiply eqn (1) with -2 we have
(-2)(x + 5y = 10)
%28-2%29x+%2B+%28-2%295y+=+%28-2%2910
-2x+-+2%2A5y+=+-2%2A10
-2x+-+10y+=+-20
But this is same as equation (2).
So equations (1) & (2) are dependent.