Final Answer:
Solve for x. z = 6πxy
A) x = z/(6πy)
Step-by-step explanation:
To solve for x in the equation z = 6πxy, apply the inverse operation of multiplication by dividing both sides of the equation by 6πy. The correct solution is represented as x = z/(6πy), as shown in option A.
Understanding the solution involves recognizing that dividing both sides of the equation by the coefficient of x isolates the variable. In this case, dividing by 6πy cancels out the term multiplied by x, resulting in x = z/(6πy).
Therefore, by following the principles of algebra and inverse operations, the expression for x is correctly determined as z/(6πy), consistent with option A.
Solving equations is a fundamental skill in mathematics, and in this context, applying the correct inverse operation leads to the accurate isolation of the variable x. The use of subscript/superscript style enhances clarity in mathematical expressions.