How do you solve and check your solutions to $c/5.3+8.3=11.3$ ?

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Answer 1 · 2017-01-21T15:09:21

See the entire solution and validation process below:

To solve this problem, first subtract $color(red)(8.3)$ from each side of the equation to isolate the $c$ term while keeping the equation balanced:

$c/5.3 + 8.3 - color(red)(8.3) = 11.3 - color(red)(8.3)$

$c/5.3 + 0 = 3$

$c/5.3 = 3$

Now, multiply each side of the equation by $color(red)(5.3)$ to solve for $c$ while keeping the equation balanced:

$c/5.3 xx color(red)(5.3) = 3 xx color(red)(5.3)$

$c/color(red)(cancel(color(black)(5.3))) xx cancel(color(red)(5.3)) = 15.9$

$c = 15.9$

To validate this solution, substitute $15.9$ for $c$ in the original equation and ensure the left side of the equation calculates out to $11.3$

$15.9/5.3 + 8.3 = 11.3$

$3 + 8.3 = 11.3$

$11.3 = 11.3$

How do you solve and check your solutions to c/5.3+8.3=11.3c/5.3+8.3=11.3?