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Question 204470: Classify the following systems of equations as consistent, inconsistent, or dependent WITHOUT using any of the previous methods. (graphing, elimination, substitution)
(4x + 3y = 7 )
(2x – y = 10)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Classify the following systems of equations as consistent, inconsistent, or dependent WITHOUT using any of the previous methods. (graphing, elimination, substitution)
(4x + 3y = 7 )
(2x – y = 10)
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Rewrite in slope-intercept form:
y = (-4/3)x + (7/3)
y = 2x - 10
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The slopes are different so the lines intersect at one point.
Therefore the system is consistent.
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Cheers,
Stan H.
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