Alex M.

asked • 08/12/14

solve using substitution 2y=x^2 and y=4x^3

I need to solve using the substitution method, but I'm having trouble figuring out how to do it with this problem.
 
 
2y=xand y=4x3

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Dattaprabhakar G. answered • 08/12/14

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Alex M.

I can't figure out how to get the x = 1/8 
 
I know how to get x2/2 = 4x3 but I don't understand how that becomes 1/8
 
Thank you for the help!
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08/12/14

Dattaprabhakar G.

x2 / 2 = 4 x3.
 
Divide both sides by x.  (Note that x = 0 is a solution but not interesting.  So look for non-zero solutions.   Then you can divide by x on both sides.)
 
You get 1 / 2 = 4 x.
 
Divide both sides by 4.
 
You get 1 / 8 = x.  This is the same as x = 1 / 8.  Do you follow?
 
Dattaprabhakar (Dr. G.)
 
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08/13/14

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