How do you solve and check the solution for #4p+5 = 11 +3p#?

1 Answer
Lil Del
Oct 20, 2016

The solution is #p = 6#.

Explanation:

Use inverse operations to solve the equation.

#4p + 5 = 11 + 3p#
#4p - 3p + 5 = 11 + 3p - 3p#
#p + 5 = 11#
#p + 5 - 5 = 11 - 5#
#p = 6#

To check your solution, substitute it for #p# in the original equation to see if it makes the equation true.

#4p + 5 = 11 + 3p#
#4(6) + 5 = 11 + 3(6)#
#24 + 5 = 11 + 18#
#29 = 29#

Since #6# does make the equation true, it is the solution.

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