How do you solve #m/8=(m+7)/9#?

1 Answer
Apr 27, 2018

Answer:

#m=56#

Explanation:

#"one way is to use "color(blue)"cross-multiplication"#

#•color(white)(x)a/b=c/drArrad=bc#

#rArr9m=8(m+7)larrcolor(blue)"distribute"#

#rArr9m=8m+56#

#"subtract "8m" from both sides"#

#9m-8m=cancel(8m)cancel(-8m)+56#

#rArrm=56#

#color(blue)"As a check"#

Substitute this value into the equation and if both sides are equal then it is the solution.

#"left "=56/8=7#

#"right "=(56+7)/9=63/9=7#

#rArrm=56" is the solution"#