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

1 Answer
May 20, 2017

Answer:

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.