Question

Реши уравнение 9y−1y+5=y+9y+5. Ответ: y=.​

Answer 1

$\displaystyle \frac{9y-1}{y+5}=\frac{y+9}{y+5},y\neq -5\\\\ 9y-1=y+9\\9y-y=9+1\\8y=10\\\\ y=\frac{5}{4}=1\frac{1}{4}=1,25$

Answer 2

$\displaystyle\bf\\\frac{9y-1}{y+5} =\frac{y+9}{y+5} \\\\\\\frac{9y-1}{y+5} -\frac{y+9}{y+5} =0\\\\\\\frac{9y-1-y-9}{y+5} =0\\\\\\\frac{8y-10}{y+5} =0\\\\\\\left \{ {{8y-10=0} \atop {y+5\neq 0}} \right.\\\\\\\left \{ {{8y=10} \atop {y\neq -5}} \right. \\\\\\\left \{ {{y=1,25} \atop {y\neq -5}} \right. \\\\\\Otvet:y=1,25$