How do you solve #3= - \frac { 1} { w - 6}#?

1 Answer
Jim G.
Apr 29, 2018

#w=17/3#

Explanation:

#"multiply both sides of the equation by "w-6#

#3(w-6)=cancel((w-6))xx-1/cancel((w-6))#

#rArr3w-18=-1#

#"add 18 to both sides"#

#3wcancel(-18)cancel(+18)=-1+18#

#rArr3w=17#

#"divide both sides by 3"#

#(cancel(3) w)/cancel(3)=17/3#

#rArrw=17/3#

#color(blue)"As a check"#

Substitute this value into the right side of the equation and if equal to the left side then it is the solution.

#-1/(17/3-18/3)=-1/(-1/3)=3=" left side"#

#rArrw=17/3" is the solution"#

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