How do you solve #-3/7m=3/9#?

2 Answers
Mar 26, 2018

Answer:

#m=-7/9#

Explanation:

#-3/7m=3/9#
#m=3/9xx-7/3#
#m=cancel(3)/9xx-7/cancel(3)#
#m=-7/9#

Mar 26, 2018

Answer:

#m=-7/9#

Explanation:

To isolate #m#, you must get rid of its coefficient, #3/7#. To undo a fraction, multiply by its reciprocal. To keep the equation balanced, you must multiply BOTH sides by the reciprocal.
#color(purple)(7/3)*-3/7m=3/9*color(purple)(7/3)#

Cancel out the coefficient, but remember to leave the negative because it didn't get cancelled.
#cancelcolor(purple)(7/3)*-cancel(3/7)m=3/9*color(purple)(7/3)#
#-m=3/9*color(purple)(7/3)#

Multiply out the right side.
#-m=21/27#

Multiply by #-1# on both sides to undo the negative and isolate #m#.
#color(red)(-1)*-m=21/27*color(red)(-1)#
#m=-21/27#

Simplify.
#m=-21/27#
#m=-7/9#