How do you solve and check your solutions to #m/2=14#?

1 Answer
smendyka
Jan 18, 2017

See the entire solution and verification process below:

Explanation:

First, to solve this equation we multiply each side of the equation by #color(red)(2)# in order to solve for #m# while keeping the equation balanced:

#color(red)(2) xx m/2 = color(red)(2) xx 14#

#cancel(color(red)(2)) xx m/color(red)(cancel(color(black)(2))) = 28#

#m = 28#

To verify or check this solution we substitute #color(red)(28)# for #m# in the original equation. Then simplify the expression on the left side of the equation to ensure it is equal to #14#:

#color(red)(28)/2 = 14#

#14 = 14#

Because 14 is equal to 14 #m = 28# is the correct solution to this problem.

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