How do you solve #\frac { c } { - 31} + 489= 460#?

1 Answer
Sep 19, 2017

See a solution process below:

Explanation:

First, subtract #color(red)(489)# from each side of the equation to isolate the #c# term while keeping the equation balanced:

#c/-31 + 489 - color(red)(489) = 460 - color(red)(489)#

#c/-31 + 0 = -29#

#c/-31 = -29#

Now, multiply each side of the equation by #color(red)(-31)# to solve for #c# while keeping the equation balanced:

#color(red)(-31) xx c/-31 = color(red)(-31) xx -29#

#cancel(color(red)(-31)) xx c/color(red)(cancel(color(black)(-31))) = 899#

#c = 899#