Question

640/700 - (X + 260/700) = 50/700​

Answer 1

Вот решение уравнения)))))))

Answer 2

To solve the equation $\frac{640}{700} - \left(\frac{X}{700} + \frac{260}{700}\right) = \frac{50}{700}$, you can follow these steps:

Step 1: Simplify the fractions on both sides of the equation.

$\frac{640}{700} = \frac{320}{350} = \frac{160}{175}$

$\frac{260}{700} = \frac{130}{350} = \frac{65}{175}$

$\frac{50}{700} = \frac{25}{350} = \frac{5}{70}$

So the equation becomes:

$\frac{160}{175} - \left(\frac{X}{700} + \frac{65}{175}\right) = \frac{5}{70}$

Step 2: Subtract $\frac{65}{175}$ from $\frac{160}{175}$:

$\frac{160}{175} - \frac{65}{175} = \frac{160 - 65}{175} = \frac{95}{175}$

Step 3: Rewrite the equation:

$\frac{95}{175} - \frac{X}{700} = \frac{5}{70}$

Step 4: Simplify the fractions further:

$\frac{95}{175} = \frac{19}{35}$

$\frac{5}{70} = \frac{1}{14}$

So the equation is now:

$\frac{19}{35} - \frac{X}{700} = \frac{1}{14}$

Step 5: To isolate $X$, you can first subtract $\frac{19}{35}$ from both sides of the equation:

$-\frac{X}{700} = \frac{1}{14} - \frac{19}{35}$

Step 6: Find a common denominator for $\frac{1}{14}$ and $\frac{19}{35}$, which is 70:

$-\frac{X}{700} = \frac{5}{70} - \frac{38}{70}$

Step 7: Subtract the fractions:

$-\frac{X}{700} = -\frac{33}{70}$

Step 8: To isolate $X$, multiply both sides by -700:

$X = -\frac{33}{70} \times (-700)$

Step 9: Calculate the value of $X$:

$X = \frac{33}{70} \times 700$

$X=\frac{33\times 700}{70}$ 0 0