Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\{ \begin{array} { l } { W = \frac { c 2 r ^ { 2 } } { 2 } } \\ { W = \frac { 2 \cdot 10 ^ { 4 } \cdot 14 } { 2 } } \end{array}$$

Answer

$$C=(11*W)/V^2$$

Solution


Regroup terms.
\[W=\frac{2C{V}^{2}}{22}\]
Simplify  \(\frac{2C{V}^{2}}{22}\)  to  \(\frac{C{V}^{2}}{11}\).
\[W=\frac{C{V}^{2}}{11}\]
Multiply both sides by \(11\).
\[W\times 11=C{V}^{2}\]
Regroup terms.
\[11W=C{V}^{2}\]
Divide both sides by \({V}^{2}\).
\[\frac{11W}{{V}^{2}}=C\]
Switch sides.
\[C=\frac{11W}{{V}^{2}}\]
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