Question

7 2/17 + ( х - 8/17) = 2 9/17

Answer 1

Ответ:

$- \frac{70}{17}$

Пошаговое объяснение:

$7 \frac{2}{17} + (x - \frac{8}{17}) = 2 \frac{9}{17} \\ \frac{121}{17} + x - \frac{8}{17} = \frac{43}{17} \\ \frac{113}{17} + x = \frac{43}{17} \\ x = \frac{43}{17} - \frac{113}{17} \\ x = - \frac{70}{17}$

Answer 2

To solve the equation, we need to simplify and isolate the variable (x).

Let's start by simplifying the mixed numbers:

7 2/17 = 7 + 2/17 = 7(17/17) + 2/17 = 119/17 + 2/17 = 121/17

2 9/17 = 2 + 9/17 = 2(17/17) + 9/17 = 34/17 + 9/17 = 43/17

Now we can rewrite the equation:

121/17 + (x - 8/17) = 43/17

To isolate the variable (x), we can subtract 121/17 from both sides of the equation:

(x - 8/17) = 43/17 - 121/17

Simplifying the right side:

(x - 8/17) = (43 - 121)/17

(x - 8/17) = -78/17

Now, to isolate x, we can add 8/17 to both sides:

x = -78/17 + 8/17

Simplifying the right side:

x = (-78 + 8)/17

x = -70/17

Therefore, the solution to the equation is:

x = -70/17