Example

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

Question

$$\left. \begin{array} { l } { 3 m - 2 n w h } \\ { n m = 4 } \\ { a n d n = } \\ { - 2 } \end{array} \right.$$

Answer

$$m=(e*h*a*n^2*d*2^w+2)/43$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[=43m-{2}^{w}hea{n}^{2}d-2\]
Regroup terms.
\[=43m-eha{n}^{2}d\times {2}^{w}-2\]
Add \(eha{n}^{2}d\times {2}^{w}\) to both sides.
\[eha{n}^{2}d\times {2}^{w}=43m-2\]
Add \(2\) to both sides.
\[eha{n}^{2}d\times {2}^{w}+2=43m\]
Divide both sides by \(43\).
\[\frac{eha{n}^{2}d\times {2}^{w}+2}{43}=m\]
Switch sides.
\[m=\frac{eha{n}^{2}d\times {2}^{w}+2}{43}\]
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