Question

3+у/8=6/117,6:х=2 1/9: 2 4/9​

Answer 1

Ответ:

Пошаговое объяснение:

3+y/8=6/11

y/8=6/11-3

y/8=6/11-2 11/11

y/8=-2 5/11

y=-27/11*8

y=-216/11

y=-19 7/11  

7.6:х=2 1/9 : 2 4/9

х=2 4/9*7,6:2 1/9

х=22/9*76/10:19/9

х=44/5

х=8,8

Answer 2

Let's solve the equations step by step:

1. 3 + у/8 = 6/117

To simplify the equation, we can multiply both sides by 117 to eliminate the fraction:

117 * (3 + у/8) = 6

351 + 117 * (у/8) = 6

117 * (у/8) = 6 - 351

у/8 = -345

To isolate у, we multiply both sides by 8:

8 * (у/8) = -345 * 8

у = -2,760

Therefore, у = -2,760.

2. 6/х = (2 1/9) / (2 4/9)

To simplify the equation, let's convert the mixed numbers into improper fractions:

6/х = (19/9) / (13/9)

To divide by a fraction, we can multiply by its reciprocal:

6/х = (19/9) * (9/13)

6/х = 19/13

To isolate х, we can cross-multiply:

6 * 13 = 19 * х

78 = 19х

Dividing both sides by 19:

78/19 = х

Therefore, х ≈ 4.1053 (rounded to four decimal places).

So, the solutions are у = -2,760 and х ≈ 4.1053.