How do you solve #\frac { w + 2} { 4} + \frac { 3w + 1} { 2} = - 3#?

1 Answer
Jul 30, 2017

#w=-16/7#

Explanation:

Use inverse operations to isolate the variable #w#

#(w+2)/4+(3w+1)/2=-3#

#<=># (#(3w+1)/2=(6w+2)/4# Gives us a common denominator)

#(w+2)/4+(6w+2)/4=-3#

#<=># Combining the fractions

#(w+2+6w+2)/4=-3#

#<=># Multiply both sides by #4#

#w+2+6w+2=-12#

#<=># Combine like terms

#7w+4=-12#

#<=># Subtract #4# from both sides

#7w=-16#

#<=># Divide both sides by #7#

#w=-16/7#