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If $2^{x}+3^{y}=17$ and $2^{x+2}-3^{y+1}=5$, then what is the value of $x ?$
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Verified Answer
The correct answer is:
3
$A=-3$ and $B=8$
Given, $2^{x}+3 y=17$
and $2^{x+2}-3^{y+1}=5$
$\Rightarrow 4.2^{x}-3.3^{y}=5$
From equation (i) and (ii), we get $2^{x}=8$ and $3 y=9$
$\Rightarrow x=3$ and $y=2$
Given, $2^{x}+3 y=17$
and $2^{x+2}-3^{y+1}=5$
$\Rightarrow 4.2^{x}-3.3^{y}=5$
From equation (i) and (ii), we get $2^{x}=8$ and $3 y=9$
$\Rightarrow x=3$ and $y=2$
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