SOLUTION: Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x,y). If not, specify whether the answe

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Question 72476This question is from textbook Intermediate Algebra
: Solve the system of equations using the addition (elimination) method. If the answer is a unique solution, present it as an ordered pair: (x,y). If not, specify whether the answer is "no solution" or "infinitely many solutions."
3x - 2y = 7
-9x + 6y = -21
This question is from textbook Intermediate Algebra

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
3x - 2y = 7
-9x + 6y = -21
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Multiply the 1st equation by 3 to get:
9x - 6x = 21
Add that to the 2nd equation to get:
0+0 =0
------------
That means the two equations are the equation for the same line.
It means every point on the line is a solution, so there are
infinitely many solutions to the system of equations. The equatios
are said to be dependent, meaning, one is a multiple of the other.
-------
Cheers,
Stan H.

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