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

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Answer 1 · 2017-09-27T21:57:23

See a solution process below:

First, rewrite the numerator of the fraction on the right side of the equation. Remember, "minus a minus is a plus":

#3 = (m - - 1)/3#

#3 = (m + 1)/3#

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

#color(red)(3) xx 3 = color(red)(3) xx (m + 1)/3#

#9 = cancel(color(red)(3)) xx (m + 1)/color(red)(cancel(color(black)(3)))#

#9 = m + 1#

Now, subtract #color(red)(1)# from each side of the equation to solve for #m# while keeping the equation balanced:

#9 - color(red)(1) = m + 1 - color(red)(1)#

#8 = m + 0#

#8 = m#

#m = 8#