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

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Answer 1 · 2017-07-30T22:05:33

#w=-16/7#

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#