Question

Решить уравнение 1/5х+5=19-1/20х

Answer 1

$\displaystyle \frac15x+5=19-\frac1{20}x\\\\0,2x+5=19-0,05x\\0,2x+0,05x=19-5\\0,25x=14\\\\x=\frac{14}{0,25}\\\\x=56$

Или

$\displaystyle \frac1{5x}+5=19-\frac1{20x}\\\\\frac4{20x}+\frac1{20x}=19-5\\\\\frac5{20x}=14\\\\20x=\frac5{14}\\\\x=\frac{\dfrac5{14}}{20}\\\\x=\frac5{14\cdot20}\\\\x=\frac5{280}\\\\x=\frac1{56}$