Example

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

Question

$$y=(7x+y)^{7},$$

Answer

$$x=(y^(1/7)-y)/7$$

Solution


Take the \(7\)th root of both sides.
\[\sqrt[7]{y}=7x+y\]
Subtract \(y\) from both sides.
\[\sqrt[7]{y}-y=7x\]
Divide both sides by \(7\).
\[\frac{\sqrt[7]{y}-y}{7}=x\]
Switch sides.
\[x=\frac{\sqrt[7]{y}-y}{7}\]
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