Question

3/5(2x-1,3)=1/3(4x+2,3)

Answer 1

Ответ:

$x = 11 \frac{3}{5}$

Пошаговое объяснение:

$\frac{3}{5} (2x - 1.3) = \frac{1}{3} (4x + 2.3)$

$\frac{6}{5} x - \frac{39}{50} = \frac{4}{3} x + \frac{23}{30}$

$\frac{6}{5} x - \frac{4}{3} x = \frac{23}{30} + \frac{39}{50}$

$- \frac{2}{15} x = 1 \frac{41}{75}$

$x = -11 \frac{3}{5}$

Answer 2

To solve the equation, let's first simplify the expressions on both sides:

On the left side: 3/5(2x - 1,3) = (3/5) * (2x - 1,3) = (6x/5) - (3/5) ≈ 1.2x - 0.6

On the right side: 1/3(4x + 2,3) = (1/3) * (4x + 2,3) = (4x/3) + (2/3)

Now we can rewrite the equation:

1.2x - 0.6 = (4x/3) + (2/3)

To eliminate the fractions, we can multiply the entire equation by 3:

3 * (1.2x - 0.6) = 3 * [(4x/3) + (2/3)]

Simplifying further:

3 * 1.2x - 3 * 0.6 = 4x + 2

3.6x - 1.8 = 4x + 2

Now let's isolate the variable x:

3.6x - 4x = 2 + 1.8

-0.4x = 3.8

Divide both sides by -0.4 to solve for x:

x = 3.8 / -0.4

x ≈ -9.5

Therefore, the solution to the equation is x ≈ -9.5.