How do you solve and check your solutions to #-108=9j#?

1 Answer
Feb 4, 2017

Answer:

See the entire solution and validation process below:

Explanation:

#color(red)(Solution)# #color(red)(Process)#

Divide each side of the equation by #color(red)(9)# to solve for #j# while keeping the equation balanced:

#(-108)/color(red)(9) = (9j)/color(red)(9)#

#-12 = (color(red)(cancel(color(black)(9)))j)/cancel(color(red)(9))#

#-12 = j#

#j = -12#

#color(red)(Validation)# #color(red)(Process)#

To validate this we need to substitute #color(red)(-12)# for #color(red)(j)# in the original equation and calculate the right side of the equation to ensure it equals #-108#:

#-108 = 9color(red)(j)# becomes:

#-108 = 9 xx color(red)(-12)#

#-108 = -108#

The two sides of the equation are equal therefore the solution to this problem is #j = -12#