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

2 Answers
Mar 26, 2018

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

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