Question

5. Розв'яжіть рівняння: 1) 7 5/24 - х = 2 5/162) ( х + 5/12 ) - 9/20 = 11/15​

Answer 1

Ответ:

1)7 5/25 - х = 2 5/16

7 5/24- 2 5/16=х

6 29*2/24*2- 2 5*3/16*3 = х

6 58/48 -2 15/48 =х

4 43/48 = х
2)(x+5/12)-9/20=11/155

(x + 25/60) - 27/60 = 44/60

x + 25/60 = 44/60 + 27/60

x + 25/60 = 71/60

x = 71/60 - 25/60

x = 46/60

x = 23/30

Пошаговое объяснение:

Answer 2

1) 7 + 5/24 - x = 2 + 5/16

First, let's find a common denominator for the fractions. The least common denominator for 24 and 16 is 48.

So, we can rewrite the equation as: 168/24 + 5/24 - x = 192/48 + 15/48 173/24 - x = 207/48 173/24 - x = 207/48

Next, we can find a common denominator for 24 and 48 which is 48. Then we can rewrite the equation as: 173/24 - x = 414/48 173/24 - x = 414/48

Now we can subtract 173/24 from both sides: -x = 414/48 - 173/24 -x = 207/48

Finally, we can simplify the right side: -x = 207/48 -x = 207/48

So, the solution is: x = -207/48

2) (x + 5/12) - 9/20 = 11/15

First, let's find a common denominator for the fractions. The least common denominator for 12, 20, and 15 is 60.

So, we can rewrite the equation as: 60/12 * (x + 5/12) - 3*60/20 = 4*60/15 5x + 25 - 3*3 = 4*4 5x + 25 - 9 = 16

Next, we can combine like terms: 5x + 16 = 16

Now, we can subtract 16 from both sides: 5x = 0

Finally, we can solve for x: x = 0

So, the solution is: x = 0