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solve for c in terms of b and d. $d = \\frac{b}{c}$ $c = $

Question

solve for c in terms of b and d.
$d = \frac{b}{c}$
$c = $

Explanation:

Step1: Multiply both sides by \( c \)

To eliminate the denominator \( c \) on the right - hand side, we multiply both sides of the equation \( d=\frac{b}{c} \) by \( c \). This gives us \( d\times c=\frac{b}{c}\times c \). Simplifying the right - hand side, \( \frac{b}{c}\times c = b \), so the equation becomes \( dc = b \).

Step2: Divide both sides by \( d \) (assuming \( d

eq0 \))
To solve for \( c \), we divide both sides of the equation \( dc = b \) by \( d \). So, \( \frac{dc}{d}=\frac{b}{d} \). Simplifying the left - hand side, \( \frac{dc}{d}=c \) (since \( d
eq0 \), we can cancel out the \( d \) terms).

Answer:

\( c = \frac{b}{d} \)