How do you solve #1+ \frac { 2} { 5} k = - 3#?

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Answer 1 · 2017-03-04T02:40:04

See the entire solution process below:

First, subtract #color(red)(1)# from each side of the equation to isolate the #k# term while keeping the equation balanced:

#-color(red)(1) + 1 + 2/5k = -color(red)(1) - 3#

#0 + 2/5k = -4#

#2/5k = -4#

Now, multiply each side of the equation by #color(red)(5)/color(blue)(2)# to solve for #k# while keeping the equation balanced:

#color(red)(5)/color(blue)(2) xx 2/5k = color(red)(5)/color(blue)(2) xx -4#

#cancel(color(red)(5))/cancel(color(blue)(2)) xx color(blue)(cancel(color(black)(2)))/color(red)(cancel(color(black)(5)))k = -20/2#

#k = -10#