Question

How do you solve the equation `9=1+m/7`?

Answer 1

See a solution process below:

Explanation:

Step 1) Subtract `color(red)(1)` from each side of the equation to isolate the `m` term while keeping the equation balanced:

`-color(red)(1) + 9 = -color(red)(1) + 1 + m/7`

`8 = 0 + m/7`

`8 = m/7`

Step 2) Multiply each side of the equation by `color(red)(7)` to solve for `m` while keeping the equation balanced:

`color(red)(7) xx 8 = color(red)(7) xx m/7`

`56 = cancel(color(red)(7)) xx m/color(red)(cancel(color(black)(7)))`

`56 = m`

`m = 56`

Answer 2

56

Explanation:

`9=1+m/7`

`9-1=m/7`

`8=m/7`

`8*7=m`

`m=56`