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

2 Answers
smendyka
Jun 15, 2017

See a solution process below:

Explanation:

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#

Because both sides of the equation are equal we know our solution is correct.

S.S
Jun 15, 2017

#p = 16.4/4.1#

#p = 4#

#p xx 4.1 = 16.4#

#4 xx 4.1 = 16.4#

#16.4 = 16.4#

Explanation:

We know that:

#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#

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