How do you solve # \frac { x - 9} { 5} = \frac { x } { 2}#?

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Answer 1 · 2018-03-02T11:23:20

#x = -8/3#

#(x - 9)/5 = x/2#

cross multiplying..

#2(x - 9) = 5 xx x#

#2x - 18 = 5x#

subtract both sides by #-2x#

#2x - 2x - 18 = 5x - 2x#

#-8 = 3x#

divide both sides by #3#

#-8/3 = (3x)/3#

#-8/3 = (cancel3x)/cancel3#

#-8/3 = x#