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Question 204993: Classify the following system of equations as consistent, inconsistent, or dependent WITHOUT using any of the previous methods. Elimination, substitution or graphing.
(3x + 2y = 4 )
( y = -3/2 x – 1)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Classify the following system of equations as consistent, inconsistent, or dependent WITHOUT using any of the previous methods. Elimination, substitution or graphing.
(3x + 2y = 4 )
( y = -3/2 x – 1)
Put the 1st equation into the slope-intercept form:
y = (-3/2)x + 2
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So the two equations have the same slope but differenet y-intercepts.
Therefore the system is inconsistent because the left side of each equation
equals a different result on the right side of the equations.
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Cheers,
Stan H.
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