Question

(813-759)÷x=6 ; 8×x+219=371

Answer 1

(813 - 759) : х = 6

54 : х = 6

х = 54 : 6

х = 9

проверка:

(813 - 759) : 9 = 6

           54 : 9 = 6

                 6 = 6

========================

8 * х + 219 = 371

8х + 219 = 371

8х = 371 - 219

8х = 152

х = 152 : 8

х = 19

проверка:

8 * 19 + 219 = 371

 152 + 219 = 371

          371 = 371

Answer 2

To solve this system of equations:

1. $\frac{{813 - 759}}{x} = 6$
2. $8x + 219 = 371$

Let's start with equation (2):

$8x + 219 = 371$

Subtract 219 from both sides:

$8x = 371 - 219$

$8x = 152$

Now, divide both sides by 8 to solve for x:

$x = \frac{152}{8}$

$x = 19$

Now that we have found the value of x, we can substitute it into equation (1) to double-check:

$\frac{813 - 759}{19} = 6$

First, calculate the numerator:

$813 - 759 = 54$

Now, substitute it back into the equation:

$\frac{54}{19} = 6$

To isolate $\frac{54}{19}$, you can multiply both sides of the equation by 19:

$\frac{54}{19} \cdot 19 = 6 \cdot 19$

$54 = 114$

This is not a true statement, which means there may be an error in the problem statement or calculations. Please double-check the equations or provide additional information if needed.