SOLUTION: Use the method of substation to solve the system of linear equations 6a=6-b 6a=3-b

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Question 644694: Use the method of substation to solve the system of linear equations
6a=6-b
6a=3-b
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
6a=6-b...........1
6a=3-b..........2
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6a=6-b...........1...solve for b
b=6-6a..........substitute in 2

6a=3-%286-6a%29..........2.solve for a
6a=3-6%2B6a
6a-6a=-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+-6x%2B6%2C+-6x%2B3%29+