make w the subject of the relation \(\frac{a + bc}{wd + f}\) = g
Question 1 Report
make w the subject of the relation \(\frac{a + bc}{wd + f}\) = g
Answer Details
To make w the subject of the relation \(\frac{a + bc}{wd + f} = g\), we can follow these steps:
1. Multiply both sides by \((wd + f)\)
2. Divide both sides by g
3. Divide both sides by (a + bc)
This gives:
\begin{align*}
\frac{a + bc}{wd + f} &= g \\
(a + bc) &= g(wd + f) \\
a + bc &= gwd + gf \\
gwd &= a + bc - gf \\
w &= \frac{a + bc - gf}{gd}
\end{align*}
Therefore, the solution is:
\begin{equation*}
w = \frac{a + bc - gf}{gd}
\end{equation*}
Hence, the option that matches this answer is:
- \(\frac{a + bc - fg}{dg}\)
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