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Question 74603: what point lies in the solution set for the following system:
4x+y<1
8y-3x>24
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 4x+y<1
8y-3x>24
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Rewrite as:
4x+y=1
-3x+8y=4
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Multiply 1st equation by 8 to get:
32x+8y=8
-3x+8y=4
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Subtract to get:
35x=4
x=4/35
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Substitute to solve for "y"
4(4/35)+y=1
y = 35/35-16/35 = 19/35
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The lines cross at (4/35,19/35)
Sketch the line y=-4x+1 the point you want must be below it (less y value)
such as (4/35,0)
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Cheers,
Stan H.
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