SOLUTION: Solve by substitution,state whether it is independent,inconsistent,or dependent.; x - y = 3 3x -2y = 3

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Question 100729: Solve by substitution,state whether it is independent,inconsistent,or dependent.;
x - y = 3
3x -2y = 3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1st: x - y = 3
2nd: 3x -2y = 3
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Multiply 1st by 3 to get:
3rd: 3x - 3y = 9
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Subtract 2nd from 3rd to get:
-y = 6
y = -6
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Substitute into 1st to solve for "x"
x -(-6) = 3
x+6 = 3
x = -3
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Check the answer in 2nd:
3(-3) - 2(-6) = 3
-9 +12 = 3
3 = 3
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The system is consistent.
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Cheers,
Stan H.