How do you solve #7- \frac { 5} { x } = \frac { 16} { x }#?

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Answer 1 · 2017-02-18T06:20:52

#x = 3#

#7 = 5/x + 16/x#

#=> (5+16)/x = 7#

#=> 21/x = 7 #

#=> 1/x = 7 / 21#

By the reciprocal principle:

#=> x = 21/7 #

#x = 3#

Which satisfies the equation given.

Answer 2 · 2017-02-18T08:08:52

#x=3#

#7 -5/x = 16/x" "# get rid of the denominators (#xx x#)

#7color(blue)(xx x) -(5color(blue)(xx x))/x = (16color(blue)(xx x))/x#

#7x -5 = 16" "# add 5 to both sides

#7x = 16+5#

#7x = 21#

#x=3#