What is the formula to solve for d if b = cd?

What is the formula to solve for d if b = cd?

• A. d = b / c
• B. d = c / b
• C. d = b + c
• D. d = b - c

Answer: (A)

To solve for \( d \) in the equation \( b = cd \), you want to isolate \( d \) on one side of the equation. To achieve this, you can divide both sides of the equation by \( c \), assuming \( c \) is not equal to zero, which simplifies the equation to: \[ \frac{b}{c} = d \] This shows that \( d \) is equal to \( b \) divided by \( c \). This is the correct formula to find \( d \) when given \( b \) and \( c \). The other options provided do not rearrange the original equation properly. In particular, dividing \( c \) by \( b \), adding \( b \) and \( c \), or subtracting \( c \) from \( b \) do not relate directly to isolating \( d \). Proper algebraic manipulation leads us to the correct relationship, confirming that \( d = \frac{b}{c} \) is indeed the correct formula.

To solve for ( d ) in the equation ( b = cd ), you want to isolate ( d ) on one side of the equation. To achieve this, you can divide both sides of the equation by ( c ), assuming ( c ) is not equal to zero, which simplifies the equation to:

[

\frac{b}{c} = d

]

This shows that ( d ) is equal to ( b ) divided by ( c ). This is the correct formula to find ( d ) when given ( b ) and ( c ).

The other options provided do not rearrange the original equation properly. In particular, dividing ( c ) by ( b ), adding ( b ) and ( c ), or subtracting ( c ) from ( b ) do not relate directly to isolating ( d ). Proper algebraic manipulation leads us to the correct relationship, confirming that ( d = \frac{b}{c} ) is indeed the correct formula.