Question

4 5/7-( x-6 3/7)=2 16/7

Answer 1

Ответ:x= 6 6/7

Пошаговое объяснение:

x-6 3/7=4 5/7-2 16/7

x-6 3/7=3/7

x=6 3/7+3/7

x=6 6/7

Answer 2

Ответ:

6 6/7

Пошаговое объяснение:

4 5/7-( x-6 3/7)=2 16/7

33/7-х+45/7=30/7

33/7-х=30/7-45/7

33/7-х= -15/7

-х= -15/7-33/7

-х= -48/7

х=48/7=6 6/7

Answer 3

To solve the equation, we need to isolate the variable x on one side of the equation. Let's go step by step:

1. First, simplify the left-hand side of the equation: 4 5/7 - (x - 6 3/7)

   To subtract fractions, we need a common denominator. The common denominator for 7 and 3/7 is 7. So, we rewrite 4 as a fraction with a denominator of 7: 4 = 4 * 7/7 = 28/7

   Now, we can simplify the equation: 28/7 + 5/7 - (x - 6 3/7)

   The two fractions on the left can be combined: (28 + 5)/7 - (x - 6 3/7) 33/7 - (x - 6 3/7)

2. Next, distribute the negative sign to the expression inside the parentheses: 33/7 - x + 6 3/7

3. Now, rewrite 6 as a fraction with a denominator of 7: 6 = 6 * 7/7 = 42/7

   So, we have: 33/7 - x + 42/7

4. Combine the fractions on the left-hand side: (33 + 42)/7 - x 75/7 - x

5. The equation now becomes: 75/7 - x = 2 16/7

6. To get rid of the fraction on the left side, we can subtract 75/7 from both sides of the equation: 2 16/7 - 75/7 = -x

7. Perform the subtraction: 2 - 75/7 + 16/7 = -x

   Combine the whole number and fractions: (2*7 - 75 + 16)/7 = -x (14 - 75 + 16)/7 = -x -45/7 = -x

8. Finally, isolate x by multiplying both sides by -1 (to change the sign): x = 45/7

So, the solution to the equation is: x = 45/7