How do you solve and check your solutions to #5.6=1.1p+1.2#?

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Answer 1 · 2017-01-31T23:03:17

See the entire simplification and verification process below:

First, subtract #color(red)(1.2)# from both sides of the equation to isolate the #p# term while keeping the equation balanced:

#5.6 - color(red)(1.2) = 1.1p + 1.2 - color(red)(1.2)#

#4.4 = 1.1p + 0#

#4.4 = 1.1p#

Now, divide each side of the equation by #color(red)(1.1)# to solve for #p# while keeping the equation balanced:

#4.4/color(red)(1.1) = (1.1p)/color(red)(1.1)#

#4 = (color(red)(cancel(color(black)(1.1)))p)/cancel(color(red)(1.1))#

#4 = p#

#p = 4#

To verify this solution substitute #4# for #p# in the original equation and calculate the right side of the equation and ensure it equals #5.6#:

#5.6 = (1.1 xx 4) + 1.2#

#5.6 = 4.4 + 1.2#

#5.6 = 5.6#

Because both sides of the equation are equal #p = 4# is a valid solution for this problem