Question

8 4/31-(х+3 15/31)=2 20/31​

Answer 1

Пошаговое объяснение:

пожалуйста.... ..... .

Answer 2

To solve the equation $8\frac{4}{31} - (x + 3\frac{15}{31}) = 2\frac{20}{31}$, you can follow these steps:

Step 1: Simplify the mixed numbers. Convert the mixed numbers into improper fractions:

$8\frac{4}{31} = \frac{8 \cdot 31 + 4}{31} = \frac{248 + 4}{31} = \frac{252}{31}$

$3\frac{15}{31} = \frac{3 \cdot 31 + 15}{31} = \frac{93 + 15}{31} = \frac{108}{31}$

$2\frac{20}{31} = \frac{2 \cdot 31 + 20}{31} = \frac{62 + 20}{31} = \frac{82}{31}$

Now, the equation becomes:

$\frac{252}{31} - (x + \frac{108}{31}) = \frac{82}{31}$

Step 2: Remove the parentheses by distributing the negative sign.

$\frac{252}{31} - x - \frac{108}{31} = \frac{82}{31}$

Step 3: Combine like terms on the left side.

$\frac{252}{31} - \frac{108}{31} - x = \frac{82}{31}$

$\frac{252 - 108}{31} - x = \frac{82}{31}$

$\frac{144}{31} - x = \frac{82}{31}$

Step 4: Isolate the variable $x$.

To isolate $x$, you can subtract $\frac{144}{31}$ from both sides of the equation:

$\frac{144}{31} - x - \frac{144}{31} = \frac{82}{31} - \frac{144}{31}$

$-x = \frac{82 - 144}{31}$

$-x = \frac{-62}{31}$

Now, to solve for $x$, multiply both sides of the equation by -1:

$x = \frac{62}{31}$

So, the solution to the equation is $x = \frac{62}{31}$.