Question

3.Решите уравнение x-44 13/15=44 1/21 +50 2/35

Answer 1

x - 44 13/15 = 44 1/21 + 50 2/35

44 1/21 + 50 2/35 = 44·21+1/21 + 50·35+2/35 = 925/21 + 1752/35 = 5·925/5·21 + 3·1752/3·35 = 4625/105 + 5256/105 = 4625+5256/105 = 9881/105 = 94 11/105

94 11/105 + 44 13/15 = 94·105+11/105 + 44·15+13/15 = 9881/105 + 673/15 = 1·9881/1·105 + 7·673/7·15 = 9881/105 + 4711/105 = 9881+4711/105 = 14592/105 = 4864·3/35·3 = 4864/35 = 138 34/35

х = 138 34/35