Question

How do you solve and check your solution given `-1/6s=15`?

Answer 1

See a solution and verification process below:

Explanation:

To solve, multiply each side of the equation by `color(red)(-6)`:

`color(red)(-6) xx 1/-6s = color(red)(-6) xx 15`

`cancel(color(red)(-6)) xx 1/color(red)(cancel(color(black)(-6)))s = -90`

`1s = -90`

`s = -90`

To verify, substitute `color(red)(-90)` for `color(red)(s)` in the original equation and calculate the left side of the equation:

`-1/6color(red)(s) = 15` becomes:

`-1/6 xx color(red)(-90) = 15`

`-1/6 xx (color(red)(6 xx -15)) = 15`

`-1/color(red)(cancel(color(black)(6))) xx (color(red)(color(black)(cancel(color(red)(6))) xx -15)) = 15`

`-1 xx color(red)(-15) = 15`

`15 = 15`

Because both sides of the equation are equal the solution has been verified.