How do you solve #\frac { | 6m + 4| } { 5} = 2#?

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Answer 1 · 2016-12-02T21:27:49

#m = 1# and #m = -7/3#

Step 1) First, eliminate the fraction while keeping the equation balanced:

#(5*abs(6m + 4))/5 = 2*5#

#(cancel(5)*abs(6m + 4))/cancel(5) = 10#

#abs(6m + 4) = 10#

Step 2) Because this is an absolute value problem we solve for #6m + 4# for both + and - 10.

#6m + 4 = 10#

#6m + 4 - 4 = 10 - 4#

#6m + 0 = 6#

#6m = 6#

#(6m)/6 = 6/6#

#m = 1#

and

#6m + 4 = -10#

#6m + 4 - 4 = -10 - 4#

#6m + 0 = -14#

#6m = -14#

#(6m)6 = -14/6#

#m = (2/2)*(-7/3)#

#m = -7/3#