Question

3 7/17-(x+1, 4/7)=1 9/17​

Answer 1

Ответ:

11/17

Пошаговое объяснение:

3 7/17-(x+1, 4/7)=1 9/17​

х+1 4/17=3 7/17-1 9/17

х+1 4/17=2 24/17-1 9/17

х+1 4/17=1 15/17

х=1 15/17- 1 4/17

х=11/17

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3 7/17-(11/17+1, 4/7)=1 9/17                                  проверка

11/17=11/17

Answer 2

To solve the equation 3 7/17 - (x + 1 4/7) = 1 9/17, you can follow these steps:

Step 1: Subtract 1 9/17 from both sides of the equation to isolate the term with the variable (x):

3 7/17 - (x + 1 4/7) - 1 9/17 = 1 9/17 - 1 9/17

This simplifies to:

3 7/17 - (x + 1 4/7) - 1 9/17 = 0

Step 2: Combine the whole numbers and fractions on the left side of the equation:

3 7/17 - 1 9/17 - (x + 1 4/7) = 0

Now, subtract the whole numbers and fractions separately:

(3 - 1) + (7/17 - 9/17) - (x + 1 4/7) = 0

2 - 2/17 - (x + 1 4/7) = 0

Step 3: Simplify the left side further:

2 - 2/17 - x - 1 4/7 = 0

Combine the constants:

2 - 2/17 - 1 4/7 - x = 0

Now, let's work on subtracting the mixed number (1 4/7) from 2:

2 - 2/17 - (1 + 4/7) - x = 0

Combine 2 and 1:

1 - 2/17 - 4/7 - x = 0

Now, find a common denominator for 17 and 7, which is 119:

(119/119) - (14/119) - (68/119) - x = 0

Combine the fractions:

(119 - 14 - 68)/119 - x = 0

(37/119) - x = 0

Step 4: Solve for x:

To isolate x, we need to get rid of the fraction (37/119) on the left side. You can do this by adding it to both sides:

(37/119) - x + (37/119) = 0 + (37/119)

This simplifies to:

37/119 - x = 37/119

Now, subtract 37/119 from both sides to solve for x:

-x = 37/119 - 37/119

-x = 0

Now, multiply both sides by -1 to get the value of x:

x = 0

So, the solution to the equation is:

x = 0