How do you solve and check your solution given #2/3p=-22#?

1 Answer
Feb 27, 2017

Answer:

See the entire solution and verification process below:

Explanation:

First, multiply each side of the equation by #color(red)(3)/color(blue)(2)# to solve for #p# while keeping the equation balanced:

#color(red)(3)/color(blue)(2) xx 2/3p = color(red)(3)/color(blue)(2) xx -22#

#cancel(color(red)(3))/cancel(color(blue)(2)) xx color(blue)(cancel(color(black)(2)))/color(red)(cancel(color(black)(3)))p = -66/color(blue)(2)#

#p = -33#

To verify the solution, substitute #color(red)(-33)# for #color(red)(p)# in the original equation and calculate the left side of the equation to ensure it equals #-22#:

#2/3color(red)(p) = -22# becomes:

#2/3 xx color(red)(-33) = -22#

#-66/3 = -22#

#-22 = -22#

Because both sides of the equation calculate to #-22# the solution for #p# is verified to be #-33#.