Question

6 2/7-( х-3 6/7)=4 5/7

Answer 1

6 2/7 - (х - 3 6/7) = 4 5/7

6 2/7 - х + 3 6/7 = 4 5/7

9 8/7 - х = 4 5/7

х = 9 8/7 - 4 5/7

х = 5 целых 3/7

Answer 2

Ответ:

x=5 3/7

Пошаговое объяснение:

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

-x+27/7=33/7-44/7

x=11/7+27/7

x=38/7

x=5 3/7

Answer 3

To solve for x in the equation $6 \frac{2}{7} - (x - 3 \frac{6}{7}) = 4 \frac{5}{7},$ you can follow these steps:

Step 1: Simplify the mixed numbers: $6 \frac{2}{7} = 6 + \frac{2}{7} = \frac{44}{7},$ and $3 \frac{6}{7} = 3 + \frac{6}{7} = \frac{27}{7},$ so the equation becomes:

$\frac{44}{7} - (x - \frac{27}{7}) = 4 \frac{5}{7}.$

Step 2: Distribute the negative sign on the left side of the equation:

$\frac{44}{7} - x + \frac{27}{7} = 4 \frac{5}{7}.$

Step 3: Combine like terms on the left side of the equation:

$\frac{44}{7} + \frac{27}{7} - x = 4 \frac{5}{7}.$

$\frac{71}{7} - x = 4 \frac{5}{7}.$

Step 4: To isolate x, subtract $\frac{71}{7}$ from both sides of the equation:

$-x = 4 \frac{5}{7} - \frac{71}{7}.$

$-x = \frac{32}{7}.$

Step 5: Finally, multiply both sides of the equation by -1 to solve for x:

$x = -\frac{32}{7}.$

So, the solution for $x$ is $x = -\frac{32}{7}$.