Question

Упростите выражение 2 5/11+11 4/19у+3 4/11-3 4/19у и найдите его значение при у=3/4

Answer 1

$2 \frac{5}{11} +11 \frac{4}{19} y+3 \frac{4}{11}-3 \frac{4}{19}y = 5 \frac{9}{11} + \frac{213}{11}y - \frac{61}{19} y = 5 \frac{9}{11} + \frac{152}{19}y=\\= \frac{64}{11} + 8y = 8(\frac{8}{11} + y)\\ y= \frac{3}{4}\\ 8(\frac{8}{11} + \frac{3}{4}) = 8(\frac{32}{44} + \frac{33}{44}) = \frac{55*8}{44} = 10$