How do you solve #-\frac { 1} { 3} x - \frac { 6} { 7} = - \frac { 3} { 2}#?

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Answer 1 · 2017-07-30T13:46:27

See a solution process below:

First, add #color(red)(6/7)# to each side of the equation to isolate the #x# term while keeping the equation balanced:

#-1/3x - 6/7 + color(red)(6/7) = -3/2 + color(red)(6/7)#

#-1/3x - 0 = (7/7 xx -3/2) + (2/2 xx color(red)(6/7))#

#-1/3x = -21/14 + 12/14#

#-1/3x = (-21 + 12)/14#

#-1/3x = -9/14#

Now, multiply each side of the equation by #color(red)(-3)# to solve for #x# while keeping the equation balanced:

#color(red)(-3) xx -1/3x = color(red)(-3) xx -9/14#

#color(red)(-3)/-3x = 27/14#

#x = 27/14#