Question

Resolva:
$\left \{ {4^{x} = 16y} \atop {2^{x+1}= 4y }} \right.$

Answer 1

Resposta:

x=3 e y=4

Explicação passo-a-passo:

$\frac{4^{x}}{2^{(x+1)}} =\frac{16y}{4y} \Rightarrow\\\frac{4^{x}}{2^{x}.2^{1}}} =4 \Rightarrow\\\\\frac{2^{2x}}{2^{x}}} =8\\\\2^{x}=2^{3}\\x=3\\Substituindo~x=3\\4^{x}=16y\\4^{3}=16y\\y=4$