How do you solve and check your solution given #4.1p=16.4#?

Question

Ethan Adkins · Accepted Answer

See a solution process below:

Divide each side of the equation by #color(red)(4.1)# to solve for #p# while keeping the equation balanced: #(4.1p)/color(red)(4.1) = 16.4/color(red)(4.1)# #(color(red)(cancel(color(black)(4.1)))p)/cancel(color(red)(4.1)) = 4# #p = 4# To check our solution we need to substitute #4# for #p# in the original equation and ensure both sides of the equation are equal. #4.1p = 16.4# becomes: #4.1 xx 4 = 16.4# #16.4 = 16.4# We are certain that our solution is right because the equation's two sides are equal.

Eva Adamson · Answer

#p = 16.4/4.1#

#p = 4#

#p xx 4.1 = 16.4#

#4 xx 4.1 = 16.4#

#16.4 = 16.4# We are aware of: #p xx 4.1 = 16.4# If we divide both sides by #4.1# we get # (p xx 4.1) / 4.1 = 16.4 / 4.1# We can cancel out both #4.1#s on the left side of the equation - because if we multiply #p# by any number and then divide #p# by that number the answer is just #p#. #p = 16.4/4.1# #p = 4# We can check this is true by replacing #p# with #4# in the original question. If both sides are equal, then we have found the right answer. #p xx 4.1 = 16.4# #4 xx 4.1 = 16.4# #16.4 = 16.4#

Isaiah Anthony · Answer

undefined To solve the equation 4.1p = 16.4, divide both sides by 4.1. The solution is p = 4.

To check the solution, substitute p = 4 back into the original equation: 4.1 * 4 = 16.4. Since the equation holds true, the solution is correct.