Question

How do you solve `31= 8v + 7`?

Answer 1

See a solution process below:

Explanation:

This is a standard 2-Step problem:

Step 1) Isolate the variable: Subtract `color(red)(7)` from each side of the equation to isolate the `v` term while keeping the equation balanced:

`31 - color(red)(7) = 8v + 7 - color(red)(7)`

`24 = 8v + 0`

`24 = 8v`

Step 2) Eliminate the coefficient of the variable: Divide each side of the equation by `color(red)(8)` to solve for `v` while keeping the equation balanced:

`24/color(red)(8) = (8v)/color(red)(8)`

`3 = (color(red)(cancel(color(black)(8)))v)/cancel(color(red)(8))`

`3 = v`

`v = 3`