How do you solve #5x - 16\frac { 3} { 4} = - 5\frac { 1} { 4}#?

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Answer 1 · 2017-03-13T20:03:01

Combine the two fractions and then divide to solve for #x#
resulting in #x = 2 3/10 #

Collect the fraction terms on one side.

# 5x - 16 3/4 + 16 3/4 = - 5 1/4 + 16 3/4#

Adding the two fractions gives

# 5x = 11 2/4# This reduces to

# 5x = 11 1/2# Now divide by 5

# (5x)/ 5 = 11/5 +(1/2)/5# This gives

# x = 2 1/5 + 1/10#

# x= 2 2/10 + 1/10" "# common denominators

# x = 2 3/10" " # so the final answer is

#x = 2 3/10 #

Answer 2 · 2017-04-03T23:06:51

#x= 2 3/10#

#5x-16 3/4 = -5 1/4" "larr " add " 16 3/4# to both sides:

#5x = +16 3/4 -5 1/4 " "larr# add the fractions:

#5x = 11 1/2" "larr# change to an improper fraction

#5x = 23/2" "larr# cross multiply

#10x= 23#

#x = 23/10#

#x = 2 3/10" "larr# answer as a mixed fraction