How do you solve and check your solution to 48 = 8c?
(a) Using algebraic properties
(b) Using linear formulas
(c) Using trigonometric identities
(d) None of these

Hint: n this problem, we are to find the solution of the given equation 48 = 8c. To find the value of c we will divide the both sides by 8. Getting the value of c we will use the value to check if the both sides are equal or not.

Complete step by step solution:
According to the problem, we are trying to solve the equality 48 = 8c and also find the way to find the solution.
To solve the equation, you need to get c by itself.
Now, to get that we have to divide both sides by 8. Then, since both sides of the equation are equal, we can divide both sides of the equation by 8 and they will still be equal.
We have, 48 = 8c
Dividing both sides by 8, we get,
$48\div 8=8c\div 8$
Further simplification,$6=c$ .
This tells us that c is 6.
Now, we need to check our solution. We do this by "plugging in" 6 for c in the equation, and seeing if it makes it true.
We have, 48 = 8c
Putting the value, $48=8\times 6=48$
So our solution is correct!

So, the correct answer is “Option A”.

Note: In algebra, the theory of equations is the study of algebraic equations (also called “polynomial equations”), which are equations defined by a polynomial. The main problem of the theory of equations was to know when an algebraic equation has an algebraic solution. This problem was completely solved in 1830 by Évariste Galois, by introducing what is now called Galois theorem.