How to change the formula to make the subject?

Make y the subject of the formula,
#c=w-4ay^3#
Answer and steps please.
Thank-you

1 Answer
Jim G.
Sep 17, 2017

#y=root(3)((w-c)/(4a))#

Explanation:

#"add "4ay^3" to both sides"#

#4ay^3+c=wcancel(-4ay^3)cancel(+4ay^3)#

#rArr4ay^3+c=w#

#"subtract c from both sides"#

#4ay^3cancel(+c)cancel(-c)=w-c#

#rArr4ay^3=w-c#

#"divide both sides by "4a#

#(cancel(4a) y^3)/cancel(4a)=(w-c)/(4a)#

#rArry^3=(w-c)/(4a)#

#"we now have "y^3" isolated on the left side"#

#"to 'undo' a cube we take the "color(blue)"cube root"#

#color(blue)"take the cube root of both sides"#

#root(3)(y^3)=root(3)((w-c)/(4a))#

#rArry=root(3)((w-c)/(4a))#

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