How do you solve #2.4= \frac { 9.3+ j } { - 3}#?

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Answer 1 · 2017-03-14T19:37:54

See the entire solution process below:

First, multiply each side of the equation by #color(red)(-3)# to eliminate the fraction while keeping the equation balanced:

#color(red)(-3) xx 2.4 = color(red)(-3) xx (9.3 + j)/(-3)#

#-7.2 = cancel(color(red)(-3)) xx (9.3 + j)/color(red)(cancel(color(black)(-3)))#

#-7.2 = 9.3 + j#

Now, subtract #color(red)(9.3)# from each side of the equation to solve for #j# while keeping the equation balanced:

#-color(red)(9.3) - 7.2 = -color(red)(9.3) + 9.3 + j#

#-16.5 = 0 + j#

#-16.5 = j#

#j = -16.5#