Question

1) х -4 8/19=5 7/19; 2)9 17/48 - х = 5 17/48. 3) 5 6/13 - {9 1/13 -х} = 2 7/13.

Answer 1

Відповідь:

Покрокове пояснення:

1) х -4 8/19=5 7/19
x= 5 7/19 + 4 8/19

x =9 15/19

перевірка:

9 15/19 - 4 8/19=  5 7/19

186/19 - 84/19 = 5 7/19

(186-84)/19= 5 7/19

102/19= 5 7/19

5 7/19=5 7/19

2) 9 17/48 - х = 5 17/48

-х = 5 17/48 - 9 17/48

-х = -4

х=4

перевірка:

9 17/48 - 4 =  5 17/48

9 + 17/48 - 4  = 5 17/48

5 + 17/48=5 17/48

5 17/48=5 17/48

3) 5 6/13 - {9 1/13 -х} = 2 7/13

5 6/13 - 9 1/13 + х = 2 7/13
-3 8/13 + х = 2 7/13

х = 2 7/13 + 3 8/13

х = 6 2/13

перевірка:

5 6/13 - (9 1/13- 6 2/13)= 2 7/13

5 6/13 - 2 12/13= 2 7/13

2 7/13=2 7/13

Answer 2

Let's solve the equations one by one:

1. х - 4 8/19 = 5 7/19:

To solve this equation, we need to isolate the variable х. We'll start by adding 4 8/19 to both sides:

х - 4 8/19 + 4 8/19 = 5 7/19 + 4 8/19

Simplifying the equation, we have:

х = 9 15/19

So the solution to the equation is х = 9 15/19.

2. 9 17/48 - х = 5 17/48:

Similarly, we want to isolate the variable х. We'll begin by subtracting 9 17/48 from both sides:

9 17/48 - х - 9 17/48 = 5 17/48 - 9 17/48

Simplifying the equation, we get:

-х = -4

To solve for х, we can multiply both sides by -1:

-1 * -х = -1 * -4

х = 4

Therefore, the solution to the equation is х = 4.

3. 5 6/13 - {9 1/13 - х} = 2 7/13:

Let's start by simplifying the expression within the brackets:

9 1/13 - х

We can rewrite this as:

8 14/13 - х

Now, substitute this expression back into the original equation:

5 6/13 - (8 14/13 - х) = 2 7/13

Next, simplify the equation:

5 6/13 - 8 14/13 + х = 2 7/13

To add or subtract mixed numbers, we need to have the same denominator. Let's find a common denominator of 13:

(5 * 13 + 6) / 13 - (8 * 13 + 14) / 13 + х = (2 * 13 + 7) / 13

(65 + 6) / 13 - (104 + 14) / 13 + х = (26 + 7) / 13

(71/13) - (118/13) + х = (33/13)

Now, combine the fractions:

(71 - 118) / 13 + х = 33/13

-47/13 + х = 33/13

To solve for х, we'll subtract -47/13 from both sides:

-47/13 + х - (-47/13) = 33/13 - (-47/13)

Simplifying the equation, we have:

х = 80/13

So the solution to the equation is х = 80/13, or it can be written as a mixed number as 6 2/13.