Question

3/8x+15=1/6x+10 ИЗИ 30 БАЛЛОВ

Answer 1

$\frac{3}{8} x + 15 = \frac{1}{6} x + 10 \\ \\ \\ \frac{3}{8}x - \frac{1}{6}x = 10 - 15 \\ \\ \\ \frac{3 \times 3}{8 \times 3} x - \frac{1 \times 4}{6 \times 4} x = - \: 5 \\ \\ \\ \frac{9}{24} x - \frac{4}{24}x = - \: 5 \\ \\ \\ \frac{5}{24} = - \: 5 \\ \\ \\ x = - \: 5 \div \frac{5}{24} = - \: 5 \times \frac{24}{5} \\ \\ x = - 24$
Ответ:х= - 24




Вот помогла

Answer 2

Надеюсь, все понятно

Answer 3

Let's solve the equation step by step to find the value of 'x'. The equation is:

(3/8)x + 15 = (1/6)x + 10

To solve the equation, we need to get rid of the fractions first. We can do this by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 24 (the LCM of 8 and 6). This will eliminate the fractions.

Multiply the entire equation by 24:

24 * [(3/8)x + 15] = 24 * [(1/6)x + 10]

Now, simplify each term:

(3/8)x * 24 + 15 * 24 = (1/6)x * 24 + 10 * 24

9x + 360 = 4x + 240

Next, isolate the 'x' term by moving all the terms containing 'x' to one side of the equation:

9x - 4x = 240 - 360

5x = -120

Finally, solve for 'x' by dividing both sides by 5:

x = -120 / 5

x = -24

So, the value of 'x' that satisfies the equation is -24.