Question

Решить систему уравнения
5^{x+1} *3^y=75

3^x*5^y-1=3

Answer 1

$\left \{ {{ 5^{x+1}* 3^{y} =75 } \atop { 3^{x}* 5^{y-1}=3 }} \right.\\\\ \left \{ {{ 5^{x} *5* 3^{y}=75 } \atop {3 ^{x} * 5^{y}* \frac{1}{5} =3 }} \right.\\\\ \left \{ {{ 5^{x}* 3^{y} =15 } \atop { 3^{x}*5 ^{y} =15 }} \right. \\\\ \left \{ {{ 5^{x} * 3^{y} =5*3} \atop { 3^{x}* 5^{y} =3*5 }} \right.\\\\ \left \{ {{x=1} \atop {y=1}} \right. \\\\\\(1;1)$