Without using a calculator, solve for $x$ and $y$, in the following simultaneous equations:

Question

Without using a calculator, solve for $x$ and $y$, in the following simultaneous equations: ${\frac{4^{x}}{8^{y+1}} = 1}$ ${ \quad 9\;\;\,^{x-1} = 27^{2y}}$

Accepted Answer

$x=2$ , $y=\frac{1}{3}$

Exponential and Logarithmic Functions - Simultaneous Exponential Equations

Exponential and Logarithmic Functions - Simultaneous Exponential Equations

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