SOLUTION: method of substitution 3a=5-b and 3a=2-b

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Question 638620: method of substitution 3a=5-b and 3a=2-b
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
3a=5-b.......1
3a=2-b.......2
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3a%2Bb=5.......1
3a%2Bb=2.......2
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3a=5-b.......1...solve for b
b=5-3a......plug in 2
3a=2-%285-3a%29.......2
3a=2-5%2B3a
3a-3a=-3
0=-3..Since this expression is not true, we have an inconsistency
So there are no solutions. The simple reason is the 2 equations represent 2 parallel lines that will never intersect. Since no intersections occur, no solutions exist.
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+5-3x%2C+2-3x%29+