Question

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

Answer 1

`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"`