SOLUTION: Classify the following systems of equations as consistent, inconsistent, or dependent WITHOUT using any of the previous methods. (graphing, elimination, substitution) (4x + 3y =

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)
--------------------
Rewrite in slope-intercept form:
y = (-4/3)x + (7/3)
y = 2x - 10
--------------------
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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