How do you solve #\frac { m + 10} { 7} = \frac { m } { 9}#?

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Answer 1 · 2017-08-02T01:32:07

#m=-45#

First: Cross-Multiply

#color(red)((m+10))/color(blue)7=color(blue)m/color(red)9#

#color(red)(9(m+10))=color(blue)(7m)#

#9m+90=7m#

Move like terms to one side by subtracting #7m# and #90# from both sides.

#9m+color(red)(cancel(90-90))=7mcolor(red)(-90)#

#9mcolor(red)(-7m)=color(red)(cancel(7m-7m))-90#

#2m=-90#

Divide #2# from both sides to solve for #m#

#cancel2/color(red)(cancel2)m=-90/color(red)2#

#m=-45#