Question

in the equation $c = \frac{d - f}{g}$, what is the first step to solve for $d$?
\bigcirc a. subtract $f$ from $c$
\bigcirc b. adding to $c$
\bigcirc c. divide both sides by $f$
\bigcirc d. multiply both sides by $g$

Explanation:

To solve for \( d \) in the equation \( C=\frac{d - f}{g} \), we need to isolate \( d \). The first step is to eliminate the denominator \( g \) from the right - hand side. According to the properties of equations, if we multiply both sides of the equation by \( g \), we get \( C\times g=\frac{d - f}{g}\times g \), which simplifies to \( Cg=d - f \). This step helps us to get rid of the fraction and move closer to isolating \( d \). Option a is incorrect because subtracting \( f \) from \( C \) does not help in isolating \( d \). Option b has a typo (probably a missing \( f \)) and the operation is not correct for the first step. Option c is incorrect because dividing both sides by \( f \) does not help in eliminating the denominator \( g \) or isolating \( d \).

Answer:

d. Multiply both sides by \( g \)