SOLUTION: . Solve the following system by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent. 2x + 3y = 1 5x + 3y = 16

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Question 36727: . Solve the following system by addition. If a unique solution does not exist, state
whether the system is inconsistent or dependent.
2x + 3y = 1
5x + 3y = 16

Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!
Solve the following system by addition. If a unique solution does not exist, state
whether the system is inconsistent or dependent.
2x + 3y = 1........................I
5x + 3y = 16.................II
EQN.II-EQN.I GIVES
5X+3Y-2X-3Y=16-1=15
3X=15
X=5
HENCE 2*5+3Y=1......3Y=1-10=-9
Y=-9/3=-3
THUS THESE ARE INDEPENDENT EQUATIONS AND GIVE RAISE TO AN UNIQUE SOLUTION OF
X=5 AND Y=-3

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