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

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Answer 1 · 2017-05-20T11:48:09

See a solution and verification process below:

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.

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