How do you solve #\frac { x } { x - 7} + 3= \frac { 7} { x - 7}#?

1 Answer
Mar 20, 2018

#"no solution"#

Explanation:

#"Since the fractions have a common denominator we can"#
#"combine them"#

#"subtract "7/(x-7)"from both sides"#

#x/(x-7)-7/(x-7)+3=0#

#rArrcancel(x-7)^1/cancel(x-7)^1=-3#

#rArr1=-3larrcolor(red)"which is a false statement"#

#rArr"the equation has no solution"#